diff --git a/library/ssl_tls13_generic.c b/library/ssl_tls13_generic.c
index a8fcb0756..8b0d93e20 100644
--- a/library/ssl_tls13_generic.c
+++ b/library/ssl_tls13_generic.c
@@ -1147,7 +1147,7 @@ static int ssl_tls13_write_certificate_verify_body( mbedtls_ssl_context *ssl,
     {
         MBEDTLS_SSL_DEBUG_MSG( 1,
                     ( "signature algorithm not in received or offered list." ) );
-        MBEDTLS_SSL_PEND_FATAL_ALERT( MBEDTLS_SSL_ALERT_MSG_ILLEGAL_PARAMETER,
+        MBEDTLS_SSL_PEND_FATAL_ALERT( MBEDTLS_SSL_ALERT_MSG_HANDSHAKE_FAILURE,
                                       MBEDTLS_ERR_SSL_HANDSHAKE_FAILURE );
         return( MBEDTLS_ERR_SSL_HANDSHAKE_FAILURE );
     }