diff --git a/include/mbedtls/config_psa.h b/include/mbedtls/config_psa.h
index 8f535a5..ae65829 100644
--- a/include/mbedtls/config_psa.h
+++ b/include/mbedtls/config_psa.h
@@ -113,6 +113,13 @@
 #define PSA_WANT_ALG_SHA_512 1
 #endif
 
+#if defined(MBEDTLS_SHA3_C)
+#define PSA_WANT_ALG_SHA3_224 1
+#define PSA_WANT_ALG_SHA3_256 1
+#define PSA_WANT_ALG_SHA3_384 1
+#define PSA_WANT_ALG_SHA3_512 1
+#endif
+
 
 /****************************************************************/
 /* Require built-in implementations based on PSA requirements */
@@ -270,6 +277,26 @@
 #define MBEDTLS_SHA512_C
 #endif
 
+#if defined(PSA_WANT_ALG_SHA3_224) && !defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_224)
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_224 1
+#define MBEDTLS_SHA3_C
+#endif
+
+#if defined(PSA_WANT_ALG_SHA3_256) && !defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_256)
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_256 1
+#define MBEDTLS_SHA3_C
+#endif
+
+#if defined(PSA_WANT_ALG_SHA3_384) && !defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_384)
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_384 1
+#define MBEDTLS_SHA3_C
+#endif
+
+#if defined(PSA_WANT_ALG_SHA3_512) && !defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_512)
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_512 1
+#define MBEDTLS_SHA3_C
+#endif
+
 #if defined(PSA_WANT_ALG_PBKDF2_HMAC)
 #if !defined(MBEDTLS_PSA_ACCEL_ALG_PBKDF2_HMAC)
 #define MBEDTLS_PSA_BUILTIN_ALG_PBKDF2_HMAC 1
@@ -871,6 +898,17 @@
 #define PSA_WANT_ALG_SHA_512 1
 #endif
 
+#if defined(MBEDTLS_SHA3_C)
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_224 1
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_256 1
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_384 1
+#define MBEDTLS_PSA_BUILTIN_ALG_SHA3_512 1
+#define PSA_WANT_ALG_SHA3_224 1
+#define PSA_WANT_ALG_SHA3_256 1
+#define PSA_WANT_ALG_SHA3_384 1
+#define PSA_WANT_ALG_SHA3_512 1
+#endif
+
 #if defined(MBEDTLS_AES_C)
 #define PSA_WANT_KEY_TYPE_AES 1
 #define MBEDTLS_PSA_BUILTIN_KEY_TYPE_AES 1
diff --git a/include/mbedtls/md.h b/include/mbedtls/md.h
index 5831e12..3675f55 100644
--- a/include/mbedtls/md.h
+++ b/include/mbedtls/md.h
@@ -85,6 +85,26 @@
 #define MBEDTLS_MD_RIPEMD160_VIA_PSA
 #define MBEDTLS_MD_SOME_PSA
 #endif
+#if defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_224)
+#define MBEDTLS_MD_CAN_SHA3_224
+#define MBEDTLS_MD_SHA3_224_VIA_PSA
+#define MBEDTLS_MD_SOME_PSA
+#endif
+#if defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_256)
+#define MBEDTLS_MD_CAN_SHA3_256
+#define MBEDTLS_MD_SHA3_256_VIA_PSA
+#define MBEDTLS_MD_SOME_PSA
+#endif
+#if defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_384)
+#define MBEDTLS_MD_CAN_SHA3_384
+#define MBEDTLS_MD_SHA3_384_VIA_PSA
+#define MBEDTLS_MD_SOME_PSA
+#endif
+#if defined(MBEDTLS_PSA_ACCEL_ALG_SHA3_512)
+#define MBEDTLS_MD_CAN_SHA3_512
+#define MBEDTLS_MD_SHA3_512_VIA_PSA
+#define MBEDTLS_MD_SOME_PSA
+#endif
 #endif /* MBEDTLS_PSA_CRYPTO_C */
 
 /* Built-in implementations */
@@ -117,6 +137,7 @@
 #define MBEDTLS_MD_CAN_SHA3_256
 #define MBEDTLS_MD_CAN_SHA3_384
 #define MBEDTLS_MD_CAN_SHA3_512
+#define MBEDTLS_MD_SOME_LEGACY
 #endif
 #if defined(MBEDTLS_RIPEMD160_C)
 #define MBEDTLS_MD_CAN_RIPEMD160
diff --git a/include/mbedtls/oid.h b/include/mbedtls/oid.h
index e333ba1..f894205 100644
--- a/include/mbedtls/oid.h
+++ b/include/mbedtls/oid.h
@@ -270,6 +270,15 @@
 
 #define MBEDTLS_OID_DIGEST_ALG_RIPEMD160        MBEDTLS_OID_TELETRUST "\x03\x02\x01" /**< id-ripemd160 OBJECT IDENTIFIER :: { iso(1) identified-organization(3) teletrust(36) algorithm(3) hashAlgorithm(2) ripemd160(1) } */
 
+#define MBEDTLS_OID_DIGEST_ALG_SHA3_224         MBEDTLS_OID_NIST_ALG "\x02\x07" /**< id-sha3-224 OBJECT IDENTIFIER ::= joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithms(4) hashalgs(2) sha3-224(7) } */
+
+#define MBEDTLS_OID_DIGEST_ALG_SHA3_256         MBEDTLS_OID_NIST_ALG "\x02\x08" /**< id-sha3-256 OBJECT IDENTIFIER ::= joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithms(4) hashalgs(2) sha3-256(8) } */
+
+#define MBEDTLS_OID_DIGEST_ALG_SHA3_384         MBEDTLS_OID_NIST_ALG "\x02\x09" /**< id-sha3-384 OBJECT IDENTIFIER ::= joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithms(4) hashalgs(2) sha3-384(9) } */
+
+#define MBEDTLS_OID_DIGEST_ALG_SHA3_512         MBEDTLS_OID_NIST_ALG "\x02\x0a" /**< id-sha3-512 OBJECT IDENTIFIER ::= joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithms(4) hashalgs(2) sha3-512(10) } */
+
+
 #define MBEDTLS_OID_HMAC_SHA1                   MBEDTLS_OID_RSA_COMPANY "\x02\x07" /**< id-hmacWithSHA1 OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840) rsadsi(113549) digestAlgorithm(2) 7 } */
 
 #define MBEDTLS_OID_HMAC_SHA224                 MBEDTLS_OID_RSA_COMPANY "\x02\x08" /**< id-hmacWithSHA224 OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840) rsadsi(113549) digestAlgorithm(2) 8 } */
diff --git a/include/psa/crypto_builtin_primitives.h b/include/psa/crypto_builtin_primitives.h
index c78c8d0..d3e0692 100644
--- a/include/psa/crypto_builtin_primitives.h
+++ b/include/psa/crypto_builtin_primitives.h
@@ -45,6 +45,7 @@
 #include "mbedtls/sha1.h"
 #include "mbedtls/sha256.h"
 #include "mbedtls/sha512.h"
+#include "mbedtls/sha3.h"
 
 #if defined(MBEDTLS_PSA_BUILTIN_ALG_MD5) || \
     defined(MBEDTLS_PSA_BUILTIN_ALG_RIPEMD160) || \
@@ -52,7 +53,11 @@
     defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_224) || \
     defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_256) || \
     defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_384) || \
-    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_512)
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_512) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
 #define MBEDTLS_PSA_BUILTIN_HASH
 #endif
 
@@ -77,6 +82,12 @@
         defined(MBEDTLS_PSA_BUILTIN_ALG_SHA_384)
         mbedtls_sha512_context sha512;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+        defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+        defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+        defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        mbedtls_sha3_context sha3;
+#endif
     } MBEDTLS_PRIVATE(ctx);
 } mbedtls_psa_hash_operation_t;
 
diff --git a/include/psa/crypto_config.h b/include/psa/crypto_config.h
index 9da28de..4e7aba5 100644
--- a/include/psa/crypto_config.h
+++ b/include/psa/crypto_config.h
@@ -86,6 +86,10 @@
 #define PSA_WANT_ALG_SHA_256                    1
 #define PSA_WANT_ALG_SHA_384                    1
 #define PSA_WANT_ALG_SHA_512                    1
+#define PSA_WANT_ALG_SHA3_224                   1
+#define PSA_WANT_ALG_SHA3_256                   1
+#define PSA_WANT_ALG_SHA3_384                   1
+#define PSA_WANT_ALG_SHA3_512                   1
 #define PSA_WANT_ALG_STREAM_CIPHER              1
 #define PSA_WANT_ALG_TLS12_PRF                  1
 #define PSA_WANT_ALG_TLS12_PSK_TO_MS            1
diff --git a/include/psa/crypto_sizes.h b/include/psa/crypto_sizes.h
index 8cc965b..dd99c0d 100644
--- a/include/psa/crypto_sizes.h
+++ b/include/psa/crypto_sizes.h
@@ -125,28 +125,43 @@
  * This macro expands to a compile-time constant integer. This value
  * is the maximum size of a hash in bytes.
  */
-/* Note: for HMAC-SHA-3, the block size is 144 bytes for HMAC-SHA3-226,
+/* Note: for HMAC-SHA-3, the block size is 144 bytes for HMAC-SHA3-224,
  * 136 bytes for HMAC-SHA3-256, 104 bytes for SHA3-384, 72 bytes for
  * HMAC-SHA3-512. */
 /* Note: PSA_HASH_MAX_SIZE should be kept in sync with MBEDTLS_MD_MAX_SIZE,
  * see the note on MBEDTLS_MD_MAX_SIZE for details. */
-#if defined(PSA_WANT_ALG_SHA_512)
-#define PSA_HASH_MAX_SIZE 64
+#if defined(PSA_WANT_ALG_SHA3_224)
+#define PSA_HMAC_MAX_HASH_BLOCK_SIZE 144
+#elif defined(PSA_WANT_ALG_SHA3_256)
+#define PSA_HMAC_MAX_HASH_BLOCK_SIZE 136
+#elif defined(PSA_WANT_ALG_SHA_512)
 #define PSA_HMAC_MAX_HASH_BLOCK_SIZE 128
 #elif defined(PSA_WANT_ALG_SHA_384)
-#define PSA_HASH_MAX_SIZE 48
 #define PSA_HMAC_MAX_HASH_BLOCK_SIZE 128
+#elif defined(PSA_WANT_ALG_SHA3_384)
+#define PSA_HMAC_MAX_HASH_BLOCK_SIZE 104
+#elif defined(PSA_WANT_ALG_SHA3_512)
+#define PSA_HMAC_MAX_HASH_BLOCK_SIZE 72
 #elif defined(PSA_WANT_ALG_SHA_256)
-#define PSA_HASH_MAX_SIZE 32
 #define PSA_HMAC_MAX_HASH_BLOCK_SIZE 64
 #elif defined(PSA_WANT_ALG_SHA_224)
-#define PSA_HASH_MAX_SIZE 28
 #define PSA_HMAC_MAX_HASH_BLOCK_SIZE 64
 #else /* SHA-1 or smaller */
-#define PSA_HASH_MAX_SIZE 20
 #define PSA_HMAC_MAX_HASH_BLOCK_SIZE 64
 #endif
 
+#if defined(PSA_WANT_ALG_SHA_512) || defined(PSA_WANT_ALG_SHA3_512)
+#define PSA_HASH_MAX_SIZE 64
+#elif defined(PSA_WANT_ALG_SHA_384) || defined(PSA_WANT_ALG_SHA3_384)
+#define PSA_HASH_MAX_SIZE 48
+#elif defined(PSA_WANT_ALG_SHA_256) || defined(PSA_WANT_ALG_SHA3_256)
+#define PSA_HASH_MAX_SIZE 32
+#elif defined(PSA_WANT_ALG_SHA_224) || defined(PSA_WANT_ALG_SHA3_224)
+#define PSA_HASH_MAX_SIZE 28
+#else /* SHA-1 or smaller */
+#define PSA_HASH_MAX_SIZE 20
+#endif
+
 /** \def PSA_MAC_MAX_SIZE
  *
  * Maximum size of a MAC.
diff --git a/library/md.c b/library/md.c
index 3589d63..5ab0d2d 100644
--- a/library/md.c
+++ b/library/md.c
@@ -259,6 +259,22 @@
         case MBEDTLS_MD_SHA512:
             return PSA_ALG_SHA_512;
 #endif
+#if defined(MBEDTLS_MD_SHA3_224_VIA_PSA)
+        case MBEDTLS_MD_SHA3_224:
+            return PSA_ALG_SHA3_224;
+#endif
+#if defined(MBEDTLS_MD_SHA3_256_VIA_PSA)
+        case MBEDTLS_MD_SHA3_256:
+            return PSA_ALG_SHA3_256;
+#endif
+#if defined(MBEDTLS_MD_SHA3_384_VIA_PSA)
+        case MBEDTLS_MD_SHA3_384:
+            return PSA_ALG_SHA3_384;
+#endif
+#if defined(MBEDTLS_MD_SHA3_512_VIA_PSA)
+        case MBEDTLS_MD_SHA3_512:
+            return PSA_ALG_SHA3_512;
+#endif
         default:
             return PSA_ALG_NONE;
     }
diff --git a/library/oid.c b/library/oid.c
index 47a311b..9ea41cb 100644
--- a/library/oid.c
+++ b/library/oid.c
@@ -761,6 +761,30 @@
         MBEDTLS_MD_RIPEMD160,
     },
 #endif
+#if defined(MBEDTLS_MD_CAN_SHA3_224)
+    {
+        OID_DESCRIPTOR(MBEDTLS_OID_DIGEST_ALG_SHA3_224,    "id-sha3-224",    "SHA-3-224"),
+        MBEDTLS_MD_SHA3_224,
+    },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_256)
+    {
+        OID_DESCRIPTOR(MBEDTLS_OID_DIGEST_ALG_SHA3_256,    "id-sha3-256",    "SHA-3-256"),
+        MBEDTLS_MD_SHA3_256,
+    },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_384)
+    {
+        OID_DESCRIPTOR(MBEDTLS_OID_DIGEST_ALG_SHA3_384,    "id-sha3-384",    "SHA-3-384"),
+        MBEDTLS_MD_SHA3_384,
+    },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_512)
+    {
+        OID_DESCRIPTOR(MBEDTLS_OID_DIGEST_ALG_SHA3_512,    "id-sha3-512",    "SHA-3-512"),
+        MBEDTLS_MD_SHA3_512,
+    },
+#endif
     {
         NULL_OID_DESCRIPTOR,
         MBEDTLS_MD_NONE,
diff --git a/library/psa_crypto_hash.c b/library/psa_crypto_hash.c
index ddf7094..dad1826 100644
--- a/library/psa_crypto_hash.c
+++ b/library/psa_crypto_hash.c
@@ -74,6 +74,25 @@
             mbedtls_sha512_free(&operation->ctx.sha512);
             break;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224)
+        case PSA_ALG_SHA3_224:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256)
+        case PSA_ALG_SHA3_256:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384)
+        case PSA_ALG_SHA3_384:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        case PSA_ALG_SHA3_512:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+            mbedtls_sha3_free(&operation->ctx.sha3);
+            break;
+#endif
         default:
             return PSA_ERROR_BAD_STATE;
     }
@@ -135,6 +154,30 @@
             ret = mbedtls_sha512_starts(&operation->ctx.sha512, 0);
             break;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224)
+        case PSA_ALG_SHA3_224:
+            mbedtls_sha3_init(&operation->ctx.sha3);
+            ret = mbedtls_sha3_starts(&operation->ctx.sha3, MBEDTLS_SHA3_224);
+            break;
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256)
+        case PSA_ALG_SHA3_256:
+            mbedtls_sha3_init(&operation->ctx.sha3);
+            ret = mbedtls_sha3_starts(&operation->ctx.sha3, MBEDTLS_SHA3_256);
+            break;
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384)
+        case PSA_ALG_SHA3_384:
+            mbedtls_sha3_init(&operation->ctx.sha3);
+            ret = mbedtls_sha3_starts(&operation->ctx.sha3, MBEDTLS_SHA3_384);
+            break;
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        case PSA_ALG_SHA3_512:
+            mbedtls_sha3_init(&operation->ctx.sha3);
+            ret = mbedtls_sha3_starts(&operation->ctx.sha3, MBEDTLS_SHA3_512);
+            break;
+#endif
         default:
             return PSA_ALG_IS_HASH(alg) ?
                    PSA_ERROR_NOT_SUPPORTED :
@@ -197,6 +240,26 @@
                                  &source_operation->ctx.sha512);
             break;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224)
+        case PSA_ALG_SHA3_224:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256)
+        case PSA_ALG_SHA3_256:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384)
+        case PSA_ALG_SHA3_384:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        case PSA_ALG_SHA3_512:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+            defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+            mbedtls_sha3_clone(&target_operation->ctx.sha3,
+                               &source_operation->ctx.sha3);
+            break;
+#endif
         default:
             (void) source_operation;
             (void) target_operation;
@@ -257,6 +320,26 @@
                                         input, input_length);
             break;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224)
+        case PSA_ALG_SHA3_224:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256)
+        case PSA_ALG_SHA3_256:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384)
+        case PSA_ALG_SHA3_384:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        case PSA_ALG_SHA3_512:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+    ret = mbedtls_sha3_update(&operation->ctx.sha3,
+                              input, input_length);
+    break;
+#endif
         default:
             (void) input;
             (void) input_length;
@@ -327,6 +410,25 @@
             ret = mbedtls_sha512_finish(&operation->ctx.sha512, hash);
             break;
 #endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224)
+        case PSA_ALG_SHA3_224:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256)
+        case PSA_ALG_SHA3_256:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384)
+        case PSA_ALG_SHA3_384:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+        case PSA_ALG_SHA3_512:
+#endif
+#if defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_224) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_256) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_384) || \
+    defined(MBEDTLS_PSA_BUILTIN_ALG_SHA3_512)
+    ret = mbedtls_sha3_finish(&operation->ctx.sha3, hash, hash_size);
+    break;
+#endif
         default:
             (void) hash;
             return PSA_ERROR_BAD_STATE;
diff --git a/tests/suites/test_suite_md.function b/tests/suites/test_suite_md.function
index e3f0e15..74069ea 100644
--- a/tests/suites/test_suite_md.function
+++ b/tests/suites/test_suite_md.function
@@ -2,6 +2,9 @@
 #include "mbedtls/md.h"
 #include "md_psa.h"
 
+#include "mbedtls/oid.h"
+#include "mbedtls/asn1.h"
+
 #define MD_PSA(md, psa) \
     TEST_EQUAL(mbedtls_md_psa_alg_from_type(md), psa);  \
     TEST_EQUAL(mbedtls_md_type_from_psa_alg(psa), md);
@@ -33,6 +36,24 @@
         TEST_EQUAL(0, mbedtls_md_starts(&ctx));
         TEST_EQUAL(0, mbedtls_md_finish(&ctx, out));
         mbedtls_md_free(&ctx);
+
+#if defined(MBEDTLS_PSA_CRYPTO_C)
+        /* Ensure that we can convert to and from a psa_algorithm_t */
+        psa_algorithm_t p = mbedtls_md_psa_alg_from_type(*md_type_ptr);
+        TEST_ASSERT(p != PSA_ALG_NONE);
+        TEST_EQUAL(*md_type_ptr, mbedtls_md_type_from_psa_alg(p));
+#endif
+
+#if defined(MBEDTLS_OID_C)
+        mbedtls_asn1_buf asn1;
+        /* Check that we have an OID definition */
+        TEST_EQUAL(mbedtls_oid_get_oid_by_md((mbedtls_md_type_t) *md_type_ptr,
+                                             (const char **) &asn1.p, &asn1.len), 0);
+        /* Check that this OID definition maps back to the correct mbedtls_md_type_t */
+        mbedtls_md_type_t m;
+        TEST_EQUAL(mbedtls_oid_get_md_alg(&asn1, &m), 0);
+        TEST_EQUAL(m, *md_type_ptr);
+#endif
     }
 
 exit:
@@ -406,7 +427,6 @@
 void md_psa_dynamic_dispatch(int md_type, int pre_psa_ret, int post_psa_engine)
 {
     const mbedtls_md_info_t *md_info = mbedtls_md_info_from_type(md_type);
-    TEST_ASSERT(md_info != NULL);
     mbedtls_md_context_t ctx1, ctx2;
 
     /* Intentionally no PSA init here! (Will be done later.) */
@@ -414,6 +434,8 @@
     mbedtls_md_init(&ctx1);
     mbedtls_md_init(&ctx2);
 
+    TEST_ASSERT(md_info != NULL);
+
     /* Before PSA crypto init */
     TEST_EQUAL(pre_psa_ret, mbedtls_md_setup(&ctx1, md_info, 0));
     TEST_EQUAL(pre_psa_ret, mbedtls_md_setup(&ctx2, md_info, 0));
diff --git a/tests/suites/test_suite_md.psa.data b/tests/suites/test_suite_md.psa.data
index 5266f18..cd24add 100644
--- a/tests/suites/test_suite_md.psa.data
+++ b/tests/suites/test_suite_md.psa.data
@@ -85,3 +85,51 @@
 PSA dispatch SHA512 legacy+driver
 depends_on:MBEDTLS_SHA512_C:MBEDTLS_MD_SHA512_VIA_PSA
 md_psa_dynamic_dispatch:MBEDTLS_MD_SHA512:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-224 legacy only
+depends_on:MBEDTLS_SHA3_224_C:!MBEDTLS_MD_SHA3_224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_224:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA3-224 driver only
+depends_on:!MBEDTLS_SHA3_224_C:MBEDTLS_MD_SHA3_224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_224:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-224 legacy+driver
+depends_on:MBEDTLS_SHA3_224_C:MBEDTLS_MD_SHA3_224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_224:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-256 legacy only
+depends_on:MBEDTLS_SHA3_256_C:!MBEDTLS_MD_SHA3_256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_256:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA3-256 driver only
+depends_on:!MBEDTLS_SHA3_256_C:MBEDTLS_MD_SHA3_256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_256:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-256 legacy+driver
+depends_on:MBEDTLS_SHA3_256_C:MBEDTLS_MD_SHA3_256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_256:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-384 legacy only
+depends_on:MBEDTLS_SHA3_384_C:!MBEDTLS_MD_SHA3_384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_384:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA3-384 driver only
+depends_on:!MBEDTLS_SHA3_384_C:MBEDTLS_MD_SHA3_384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_384:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-384 legacy+driver
+depends_on:MBEDTLS_SHA3_384_C:MBEDTLS_MD_SHA3_384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_384:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-512 legacy only
+depends_on:MBEDTLS_SHA3_512_C:!MBEDTLS_MD_SHA3_512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_512:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA3-512 driver only
+depends_on:!MBEDTLS_SHA3_512_C:MBEDTLS_MD_SHA3_512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_512:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA3-512 legacy+driver
+depends_on:MBEDTLS_SHA3_512_C:MBEDTLS_MD_SHA3_512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA3_512:0:MBEDTLS_MD_ENGINE_PSA
diff --git a/tests/suites/test_suite_oid.data b/tests/suites/test_suite_oid.data
index 00f6e0b..cc23c5b 100644
--- a/tests/suites/test_suite_oid.data
+++ b/tests/suites/test_suite_oid.data
@@ -82,6 +82,22 @@
 depends_on:MBEDTLS_MD_CAN_SHA512
 oid_get_md_alg_id:"608648016503040203":MBEDTLS_MD_SHA512
 
+OID hash id - id-sha3-224
+depends_on:MBEDTLS_MD_CAN_SHA3_224
+oid_get_md_alg_id:"608648016503040207":MBEDTLS_MD_SHA3_224
+
+OID hash id - id-sha3-256
+depends_on:MBEDTLS_MD_CAN_SHA3_256
+oid_get_md_alg_id:"608648016503040208":MBEDTLS_MD_SHA3_256
+
+OID hash id - id-sha3-384
+depends_on:MBEDTLS_MD_CAN_SHA3_384
+oid_get_md_alg_id:"608648016503040209":MBEDTLS_MD_SHA3_384
+
+OID hash id - id-sha3-512
+depends_on:MBEDTLS_MD_CAN_SHA3_512
+oid_get_md_alg_id:"60864801650304020a":MBEDTLS_MD_SHA3_512
+
 OID hash id - id-ripemd160
 depends_on:MBEDTLS_MD_CAN_RIPEMD160
 oid_get_md_alg_id:"2b24030201":MBEDTLS_MD_RIPEMD160
diff --git a/tests/suites/test_suite_psa_crypto_hash.data b/tests/suites/test_suite_psa_crypto_hash.data
index 9f51339..1133c39 100644
--- a/tests/suites/test_suite_psa_crypto_hash.data
+++ b/tests/suites/test_suite_psa_crypto_hash.data
@@ -158,6 +158,70 @@
 depends_on:PSA_WANT_ALG_SHA_512
 hash_finish:PSA_ALG_SHA_512:"990d1ae71a62d7bda9bfdaa1762a68d296eee72a4cd946f287a898fbabc002ea941fd8d4d991030b4d27a637cce501a834bb95eab1b7889a3e784c7968e67cbf552006b206b68f76d9191327524fcc251aeb56af483d10b4e0c6c5e599ee8c0fe4faeca8293844a8547c6a9a90d093f2526873a19ad4a5e776794c68c742fb834793d2dfcb7fea46c63af4b70fd11cb6e41834e72ee40edb067b292a794990c288d5007e73f349fb383af6a756b8301ad6e5e0aa8cd614399bb3a452376b1575afa6bdaeaafc286cb064bb91edef97c632b6c1113d107fa93a0905098a105043c2f05397f702514439a08a9e5ddc196100721d45c8fc17d2ed659376f8a00bd5cb9a0860e26d8a29d8d6aaf52de97e9346033d6db501a35dbbaf97c20b830cd2d18c2532f3a59cc497ee64c0e57d8d060e5069b28d86edf1adcf59144b221ce3ddaef134b3124fbc7dd000240eff0f5f5f41e83cd7f5bb37c9ae21953fe302b0f6e8b68fa91c6ab99265c64b2fd9cd4942be04321bb5d6d71932376c6f2f88e02422ba6a5e2cb765df93fd5dd0728c6abdaf03bce22e0678a544e2c3636f741b6f4447ee58a8fc656b43ef817932176adbfc2e04b2c812c273cd6cbfa4098f0be036a34221fa02643f5ee2e0b38135f2a18ecd2f16ebc45f8eb31b8ab967a1567ee016904188910861ca1fa205c7adaa194b286893ffe2f4fbe0384c2aef72a4522aeafd3ebc71f9db71eeeef86c48394a1c86d5b36c352cc33a0a2c800bc99e62fd65b3a2fd69e0b53996ec13d8ce483ce9319efd9a85acefabdb5342226febb83fd1daf4b24265f50c61c6de74077ef89b6fecf9f29a1f871af1e9f89b2d345cda7499bd45c42fa5d195a1e1a6ba84851889e730da3b2b916e96152ae0c92154b49719841db7e7cc707ba8a5d7b101eb4ac7b629bb327817910fff61580b59aab78182d1a2e33473d05b00b170b29e331870826cfe45af206aa7d0246bbd8566ca7cfb2d3c10bfa1db7dd48dd786036469ce7282093d78b5e1a5b0fc81a54c8ed4ceac1e5305305e78284ac276f5d7862727aff246e17addde50c670028d572cbfc0be2e4f8b2eb28fa68ad7b4c6c2a239c460441bfb5ea049f23b08563b4e47729a59e5986a61a6093dbd54f8c36ebe87edae01f251cb060ad1364ce677d7e8d5a4a4ca966a7241cc360bc2acb280e5f9e9c1b032ad6a180a35e0c5180b9d16d026c865b252098cc1d99ba7375ca31c7702c0d943d5e3dd2f6861fa55bd46d94b67ed3e52eccd8dd06d968e01897d6de97ed3058d91dd":"8e4bc6f8b8c60fe4d68c61d9b159c8693c3151c46749af58da228442d927f23359bd6ccd6c2ec8fa3f00a86cecbfa728e1ad60b821ed22fcd309ba91a4138bc9"
 
+PSA hash finish: SHA3-224 Test Vector NIST ""
+depends_on:PSA_WANT_ALG_SHA3_224
+hash_finish:PSA_ALG_SHA3_224:"":"6b4e03423667dbb73b6e15454f0eb1abd4597f9a1b078e3f5b5a6bc7"
+
+PSA hash finish: SHA3-256 Test Vector NIST ""
+depends_on:PSA_WANT_ALG_SHA3_256
+hash_finish:PSA_ALG_SHA3_256:"616263":"3a985da74fe225b2045c172d6bd390bd855f086e3e9d525b46bfe24511431532"
+
+PSA hash finish: SHA3-384 Test Vector NIST ""
+depends_on:PSA_WANT_ALG_SHA3_384
+hash_finish:PSA_ALG_SHA3_384:"":"0c63a75b845e4f7d01107d852e4c2485c51a50aaaa94fc61995e71bbee983a2ac3713831264adb47fb6bd1e058d5f004"
+
+PSA hash finish: SHA3-512 Test Vector NIST ""
+depends_on:PSA_WANT_ALG_SHA3_512
+hash_finish:PSA_ALG_SHA3_512:"":"a69f73cca23a9ac5c8b567dc185a756e97c982164fe25859e0d1dcc1475c80a615b2123af1f5f94c11e3e9402c3ac558f500199d95b6d3e301758586281dcd26"
+
+PSA hash finish: SHA3-224 Test Vector NIST "abc"
+depends_on:PSA_WANT_ALG_SHA3_224
+hash_finish:PSA_ALG_SHA3_224:"616263":"e642824c3f8cf24ad09234ee7d3c766fc9a3a5168d0c94ad73b46fdf"
+
+PSA hash finish: SHA3-256 Test Vector NIST "abc"
+depends_on:PSA_WANT_ALG_SHA3_256
+hash_finish:PSA_ALG_SHA3_256:"616263":"3a985da74fe225b2045c172d6bd390bd855f086e3e9d525b46bfe24511431532"
+
+PSA hash finish: SHA3-384 Test Vector NIST "abc"
+depends_on:PSA_WANT_ALG_SHA3_384
+hash_finish:PSA_ALG_SHA3_384:"616263":"ec01498288516fc926459f58e2c6ad8df9b473cb0fc08c2596da7cf0e49be4b298d88cea927ac7f539f1edf228376d25"
+
+PSA hash finish: SHA3-512 Test Vector NIST "abc"
+depends_on:PSA_WANT_ALG_SHA3_512
+hash_finish:PSA_ALG_SHA3_512:"616263":"b751850b1a57168a5693cd924b6b096e08f621827444f70d884f5d0240d2712e10e116e9192af3c91a7ec57647e3934057340b4cf408d5a56592f8274eec53f0"
+
+PSA hash finish: SHA3-224 Test Vector NIST 448 bits: "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
+depends_on:PSA_WANT_ALG_SHA3_224
+hash_finish:PSA_ALG_SHA3_224:"6162636462636465636465666465666765666768666768696768696a68696a6b696a6b6c6a6b6c6d6b6c6d6e6c6d6e6f6d6e6f706e6f7071":"8a24108b154ada21c9fd5574494479ba5c7e7ab76ef264ead0fcce33"
+
+PSA hash finish: SHA3-256 Test Vector NIST 448 bits: "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
+depends_on:PSA_WANT_ALG_SHA3_256
+hash_finish:PSA_ALG_SHA3_256:"6162636462636465636465666465666765666768666768696768696a68696a6b696a6b6c6a6b6c6d6b6c6d6e6c6d6e6f6d6e6f706e6f7071":"41c0dba2a9d6240849100376a8235e2c82e1b9998a999e21db32dd97496d3376"
+
+PSA hash finish: SHA3-384 Test Vector NIST 448 bits: "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
+depends_on:PSA_WANT_ALG_SHA3_384
+hash_finish:PSA_ALG_SHA3_384:"6162636462636465636465666465666765666768666768696768696a68696a6b696a6b6c6a6b6c6d6b6c6d6e6c6d6e6f6d6e6f706e6f7071":"991c665755eb3a4b6bbdfb75c78a492e8c56a22c5c4d7e429bfdbc32b9d4ad5aa04a1f076e62fea19eef51acd0657c22"
+
+PSA hash finish: SHA3-512 Test Vector NIST 448 bits: "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
+depends_on:PSA_WANT_ALG_SHA3_512
+hash_finish:PSA_ALG_SHA3_512:"6162636462636465636465666465666765666768666768696768696a68696a6b696a6b6c6a6b6c6d6b6c6d6e6c6d6e6f6d6e6f706e6f7071":"04a371e84ecfb5b8b77cb48610fca8182dd457ce6f326a0fd3d7ec2f1e91636dee691fbe0c985302ba1b0d8dc78c086346b533b49c030d99a27daf1139d6e75e"
+
+PSA hash finish: SHA3-224 Test Vector NIST 896 bits: "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"
+depends_on:PSA_WANT_ALG_SHA3_224
+hash_finish:PSA_ALG_SHA3_224:"61626364656667686263646566676869636465666768696a6465666768696a6b65666768696a6b6c666768696a6b6c6d6768696a6b6c6d6e68696a6b6c6d6e6f696a6b6c6d6e6f706a6b6c6d6e6f70716b6c6d6e6f7071726c6d6e6f707172736d6e6f70717273746e6f707172737475":"543e6868e1666c1a643630df77367ae5a62a85070a51c14cbf665cbc"
+
+PSA hash finish: SHA3-256 Test Vector NIST 896 bits: "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"
+depends_on:PSA_WANT_ALG_SHA3_256
+hash_finish:PSA_ALG_SHA3_256:"61626364656667686263646566676869636465666768696a6465666768696a6b65666768696a6b6c666768696a6b6c6d6768696a6b6c6d6e68696a6b6c6d6e6f696a6b6c6d6e6f706a6b6c6d6e6f70716b6c6d6e6f7071726c6d6e6f707172736d6e6f70717273746e6f707172737475":"916f6061fe879741ca6469b43971dfdb28b1a32dc36cb3254e812be27aad1d18"
+
+PSA hash finish: SHA3-384 Test Vector NIST 896 bits: "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"
+depends_on:PSA_WANT_ALG_SHA3_384
+hash_finish:PSA_ALG_SHA3_384:"61626364656667686263646566676869636465666768696a6465666768696a6b65666768696a6b6c666768696a6b6c6d6768696a6b6c6d6e68696a6b6c6d6e6f696a6b6c6d6e6f706a6b6c6d6e6f70716b6c6d6e6f7071726c6d6e6f707172736d6e6f70717273746e6f707172737475":"79407d3b5916b59c3e30b09822974791c313fb9ecc849e406f23592d04f625dc8c709b98b43b3852b337216179aa7fc7"
+
+PSA hash finish: SHA3-512 Test Vector NIST 896 bits: "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"
+depends_on:PSA_WANT_ALG_SHA3_512
+hash_finish:PSA_ALG_SHA3_512:"61626364656667686263646566676869636465666768696a6465666768696a6b65666768696a6b6c666768696a6b6c6d6768696a6b6c6d6e68696a6b6c6d6e6f696a6b6c6d6e6f706a6b6c6d6e6f70716b6c6d6e6f7071726c6d6e6f707172736d6e6f70717273746e6f707172737475":"afebb2ef542e6579c50cad06d2e578f9f8dd6881d7dc824d26360feebf18a4fa73e3261122948efcfd492e74e82e2189ed0fb440d187f382270cb455f21dd185"
+
 PSA hash finish: MD5 Test vector RFC1321 #1
 depends_on:PSA_WANT_ALG_MD5
 hash_finish:PSA_ALG_MD5:"":"d41d8cd98f00b204e9800998ecf8427e"
diff --git a/tests/suites/test_suite_psa_crypto_metadata.data b/tests/suites/test_suite_psa_crypto_metadata.data
index a41d83a..2bc559c 100644
--- a/tests/suites/test_suite_psa_crypto_metadata.data
+++ b/tests/suites/test_suite_psa_crypto_metadata.data
@@ -26,6 +26,22 @@
 depends_on:PSA_WANT_ALG_SHA_512
 hash_algorithm:PSA_ALG_SHA_512:64
 
+Hash: SHA-3 SHA3-224
+depends_on:PSA_WANT_ALG_SHA3_224
+hash_algorithm:PSA_ALG_SHA3_224:28
+
+Hash: SHA-3 SHA3-256
+depends_on:PSA_WANT_ALG_SHA3_256
+hash_algorithm:PSA_ALG_SHA3_256:32
+
+Hash: SHA-3 SHA3-384
+depends_on:PSA_WANT_ALG_SHA3_384
+hash_algorithm:PSA_ALG_SHA3_384:48
+
+Hash: SHA-3 SHA3-512
+depends_on:PSA_WANT_ALG_SHA3_512
+hash_algorithm:PSA_ALG_SHA3_512:64
+
 MAC: HMAC-MD5
 depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_MD5
 hmac_algorithm:PSA_ALG_HMAC( PSA_ALG_MD5 ):16:64