diff --git a/library/psa_crypto.c b/library/psa_crypto.c
index bffddc9..af8a7a9 100644
--- a/library/psa_crypto.c
+++ b/library/psa_crypto.c
@@ -27,6 +27,7 @@
 
 #include "psa_crypto_core.h"
 #include "psa_crypto_invasive.h"
+#include "psa_crypto_driver_wrappers.h"
 #if defined(MBEDTLS_PSA_CRYPTO_SE_C)
 #include "psa_crypto_se.h"
 #endif
@@ -3659,6 +3660,17 @@
         goto exit;
     }
 
+    /* Try any of the available accelerators first */
+    status = psa_driver_wrapper_sign_hash( slot,
+                                           alg,
+                                           hash,
+                                           hash_length,
+                                           signature,
+                                           signature_size,
+                                           signature_length );
+    if( status != PSA_ERROR_NOT_SUPPORTED )
+        goto exit;
+
 #if defined(MBEDTLS_PSA_CRYPTO_SE_C)
     if( psa_get_se_driver( slot->attr.lifetime, &drv, &drv_context ) )
     {