diff --git a/library/pk.c b/library/pk.c
index 3b42799..abed468 100644
--- a/library/pk.c
+++ b/library/pk.c
@@ -153,7 +153,7 @@
 int mbedtls_pk_setup_opaque( mbedtls_pk_context *ctx,
                              const mbedtls_svc_key_id_t key )
 {
-    const mbedtls_pk_info_t * const info = &mbedtls_pk_opaque_info;
+    const mbedtls_pk_info_t *info = NULL;
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
     mbedtls_svc_key_id_t *pk_ctx;
     psa_key_type_t type;
@@ -166,9 +166,12 @@
     type = psa_get_key_type( &attributes );
     psa_reset_key_attributes( &attributes );
 
-    /* Current implementation of can_do() relies on this. */
-    if( ! PSA_KEY_TYPE_IS_ECC_KEY_PAIR( type ) )
-        return( MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE) ;
+    if( PSA_KEY_TYPE_IS_ECC_KEY_PAIR( type ) )
+        info = &mbedtls_pk_ecdsa_opaque_info;
+    else if( PSA_KEY_TYPE_IS_RSA( type ) )
+        info = &mbedtls_pk_rsa_opaque_info;
+    else
+        return( MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE );
 
     if( ( ctx->pk_ctx = info->ctx_alloc_func() ) == NULL )
         return( MBEDTLS_ERR_PK_ALLOC_FAILED );
diff --git a/library/pk_wrap.c b/library/pk_wrap.c
index 2668290..8ad6fa1 100644
--- a/library/pk_wrap.c
+++ b/library/pk_wrap.c
@@ -1493,15 +1493,20 @@
     return( bits );
 }
 
-static int pk_opaque_can_do( mbedtls_pk_type_t type )
+static int pk_opaque_ecdsa_can_do( mbedtls_pk_type_t type )
 {
-    /* For now opaque PSA keys can only wrap ECC keypairs,
+    /* For now ECDSA opaque PSA keys can only wrap ECC keypairs,
      * as checked by setup_psa().
      * Also, ECKEY_DH does not really make sense with the current API. */
     return( type == MBEDTLS_PK_ECKEY ||
             type == MBEDTLS_PK_ECDSA );
 }
 
+static int pk_opaque_rsa_can_do( mbedtls_pk_type_t type )
+{
+    return( type == MBEDTLS_PK_RSA );
+}
+
 static int pk_opaque_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
                    const unsigned char *hash, size_t hash_len,
                    unsigned char *sig, size_t sig_size, size_t *sig_len,
@@ -1521,8 +1526,20 @@
 #else /* !MBEDTLS_ECDSA_C */
     const mbedtls_svc_key_id_t *key = (const mbedtls_svc_key_id_t *) ctx;
     psa_algorithm_t alg = PSA_ALG_ECDSA( mbedtls_psa_translate_md( md_alg ) );
+    psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
+    psa_key_type_t type;
     psa_status_t status;
 
+    status = psa_get_key_attributes( *key, &attributes );
+    if( status != PSA_SUCCESS )
+        return( mbedtls_pk_error_from_psa_ecdca( status ) );
+
+    type = psa_get_key_type( &attributes );
+    psa_reset_key_attributes( &attributes );
+
+    if( ! PSA_KEY_TYPE_IS_ECC_KEY_PAIR( type ) )
+        return( MBEDTLS_ERR_PK_TYPE_MISMATCH );
+
     /* PSA has its own RNG */
     (void) f_rng;
     (void) p_rng;
@@ -1538,11 +1555,34 @@
 #endif /* !MBEDTLS_ECDSA_C */
 }
 
-const mbedtls_pk_info_t mbedtls_pk_opaque_info = {
+const mbedtls_pk_info_t mbedtls_pk_ecdsa_opaque_info = {
     MBEDTLS_PK_OPAQUE,
     "Opaque",
     pk_opaque_get_bitlen,
-    pk_opaque_can_do,
+    pk_opaque_ecdsa_can_do,
+    NULL, /* verify - will be done later */
+    pk_opaque_sign_wrap,
+#if defined(MBEDTLS_ECDSA_C) && defined(MBEDTLS_ECP_RESTARTABLE)
+    NULL, /* restartable verify - not relevant */
+    NULL, /* restartable sign - not relevant */
+#endif
+    NULL, /* decrypt - will be done later */
+    NULL, /* encrypt - will be done later */
+    NULL, /* check_pair - could be done later or left NULL */
+    pk_opaque_alloc_wrap,
+    pk_opaque_free_wrap,
+#if defined(MBEDTLS_ECDSA_C) && defined(MBEDTLS_ECP_RESTARTABLE)
+    NULL, /* restart alloc - not relevant */
+    NULL, /* restart free - not relevant */
+#endif
+    NULL, /* debug - could be done later, or even left NULL */
+};
+
+const mbedtls_pk_info_t mbedtls_pk_rsa_opaque_info = {
+    MBEDTLS_PK_OPAQUE,
+    "Opaque",
+    pk_opaque_get_bitlen,
+    pk_opaque_rsa_can_do,
     NULL, /* verify - will be done later */
     pk_opaque_sign_wrap,
 #if defined(MBEDTLS_ECDSA_C) && defined(MBEDTLS_ECP_RESTARTABLE)
diff --git a/library/pk_wrap.h b/library/pk_wrap.h
index 1b490cc..5e81a65 100644
--- a/library/pk_wrap.h
+++ b/library/pk_wrap.h
@@ -136,7 +136,8 @@
 #endif
 
 #if defined(MBEDTLS_USE_PSA_CRYPTO)
-extern const mbedtls_pk_info_t mbedtls_pk_opaque_info;
+extern const mbedtls_pk_info_t mbedtls_pk_ecdsa_opaque_info;
+extern const mbedtls_pk_info_t mbedtls_pk_rsa_opaque_info;
 
 #if defined(PSA_WANT_KEY_TYPE_ECC_PUBLIC_KEY)
 int mbedtls_pk_error_from_psa_ecdsa( psa_status_t status );