diff --git a/library/ssl_tls.c b/library/ssl_tls.c
index 8a72975..6a4087a 100644
--- a/library/ssl_tls.c
+++ b/library/ssl_tls.c
@@ -8179,14 +8179,22 @@
 
     for( ; *sig_alg != MBEDTLS_TLS1_3_SIG_NONE; sig_alg++ )
     {
-        if( ! mbedtls_ssl_sig_alg_is_supported( ssl, *sig_alg ) )
-            continue;
-        MBEDTLS_SSL_CHK_BUF_PTR( p, end, 2 );
-        MBEDTLS_PUT_UINT16_BE( *sig_alg, p, 0 );
-        p += 2;
-        MBEDTLS_SSL_DEBUG_MSG( 3, ( "signature scheme [%x] %s",
+        if( mbedtls_ssl_sig_alg_is_supported( ssl, *sig_alg ) ||
+#if defined(MBEDTLS_SSL_PROTO_TLS1_2) && defined(MBEDTLS_SSL_PROTO_TLS1_3)
+            ( mbedtls_ssl_conf_is_hybrid_tls12_tls13( ssl->conf ) &&
+              ssl->conf->endpoint == MBEDTLS_SSL_IS_CLIENT &&
+              mbedtls_ssl_tls12_sig_alg_is_supported( *sig_alg ) ) ||
+#endif /* MBEDTLS_SSL_PROTO_TLS1_2 && MBEDTLS_SSL_PROTO_TLS1_3 */
+            0 )
+        {
+            MBEDTLS_SSL_CHK_BUF_PTR( p, end, 2 );
+            MBEDTLS_PUT_UINT16_BE( *sig_alg, p, 0 );
+            p += 2;
+            MBEDTLS_SSL_DEBUG_MSG( 3,
+                                  ( "sent signature scheme [%x] %s",
                                     *sig_alg,
                                     mbedtls_ssl_sig_alg_to_str( *sig_alg ) ) );
+        }
     }
 
     /* Length of supported_signature_algorithms */