diff --git a/include/mbedtls/pk.h b/include/mbedtls/pk.h
index dc808e837..5225c57a7 100644
--- a/include/mbedtls/pk.h
+++ b/include/mbedtls/pk.h
@@ -922,28 +922,24 @@ int mbedtls_pk_load_file( const char *path, unsigned char **buf, size_t *n );
  * \warning         This is a temporary utility function for tests. It might
  *                  change or be removed at any time without notice.
  *
- * \note            ECDSA & RSA keys are supported.
- *                  For both key types, signing with the specified hash
- *                  is the only allowed use of that key with PK API.
- *                  The RSA key supports RSA-PSS signing with the specified
- *                  hash with the PK EXT API.
- *                  In addition, the ECDSA key is also allowed for ECDH key
- *                  agreement derivation operation using the PSA API.
- *
  * \param pk        Input: the EC or RSA key to import to a PSA key.
  *                  Output: a PK context wrapping that PSA key.
  * \param key       Output: a PSA key identifier.
  *                  It's the caller's responsibility to call
  *                  psa_destroy_key() on that key identifier after calling
  *                  mbedtls_pk_free() on the PK context.
- * \param hash_alg  The hash algorithm to allow for use with that key.
+ * \param alg       The algorithm to allow for use with that key.
+ * \param usage     The usage to allow for use with that key.
+ * \param alg2      The secondary algorithm to allow for use with that key.
  *
  * \return          \c 0 if successful.
  * \return          An Mbed TLS error code otherwise.
  */
 int mbedtls_pk_wrap_as_opaque( mbedtls_pk_context *pk,
                                mbedtls_svc_key_id_t *key,
-                               psa_algorithm_t hash_alg );
+                               psa_algorithm_t alg,
+                               psa_key_usage_t usage,
+                               psa_algorithm_t alg2 );
 #endif /* MBEDTLS_USE_PSA_CRYPTO */
 
 #ifdef __cplusplus
diff --git a/library/pk.c b/library/pk.c
index bba2ef7c5..42ff43221 100644
--- a/library/pk.c
+++ b/library/pk.c
@@ -720,12 +720,16 @@ mbedtls_pk_type_t mbedtls_pk_get_type( const mbedtls_pk_context *ctx )
  */
 int mbedtls_pk_wrap_as_opaque( mbedtls_pk_context *pk,
                                mbedtls_svc_key_id_t *key,
-                               psa_algorithm_t hash_alg )
+                               psa_algorithm_t alg,
+                               psa_key_usage_t usage,
+                               psa_algorithm_t alg2 )
 {
 #if !defined(MBEDTLS_ECP_C) && !defined(MBEDTLS_RSA_C)
     ((void) pk);
     ((void) key);
-    ((void) hash_alg);
+    ((void) alg);
+    ((void) usage);
+    ((void) alg2);
 #else
 #if defined(MBEDTLS_ECP_C)
     if( mbedtls_pk_get_type( pk ) == MBEDTLS_PK_ECKEY )
@@ -752,10 +756,10 @@ int mbedtls_pk_wrap_as_opaque( mbedtls_pk_context *pk,
         /* prepare the key attributes */
         psa_set_key_type( &attributes, key_type );
         psa_set_key_bits( &attributes, bits );
-        psa_set_key_usage_flags( &attributes, PSA_KEY_USAGE_SIGN_HASH |
-                                              PSA_KEY_USAGE_DERIVE);
-        psa_set_key_algorithm( &attributes, PSA_ALG_ECDSA( hash_alg ) );
-        psa_set_key_enrollment_algorithm( &attributes, PSA_ALG_ECDH );
+        psa_set_key_usage_flags( &attributes, usage );
+        psa_set_key_algorithm( &attributes, alg );
+        if( alg2 != PSA_ALG_NONE )
+            psa_set_key_enrollment_algorithm( &attributes, alg2 );
 
         /* import private key into PSA */
         status = psa_import_key( &attributes, d, d_len, key );
@@ -786,11 +790,10 @@ int mbedtls_pk_wrap_as_opaque( mbedtls_pk_context *pk,
         /* prepare the key attributes */
         psa_set_key_type( &attributes, PSA_KEY_TYPE_RSA_KEY_PAIR );
         psa_set_key_bits( &attributes, mbedtls_pk_get_bitlen( pk ) );
-        psa_set_key_usage_flags( &attributes, PSA_KEY_USAGE_SIGN_HASH );
-        psa_set_key_algorithm( &attributes,
-                               PSA_ALG_RSA_PKCS1V15_SIGN( hash_alg ) );
-        psa_set_key_enrollment_algorithm( &attributes,
-                                          PSA_ALG_RSA_PSS( hash_alg ) );
+        psa_set_key_usage_flags( &attributes, usage );
+        psa_set_key_algorithm( &attributes, alg );
+        if( alg2 != PSA_ALG_NONE )
+            psa_set_key_enrollment_algorithm( &attributes, alg2 );
 
         /* import private key into PSA */
         status = psa_import_key( &attributes,