diff --git a/library/ssl_tls.c b/library/ssl_tls.c
index 5c65cc535f..3cd6f2726e 100644
--- a/library/ssl_tls.c
+++ b/library/ssl_tls.c
@@ -3939,6 +3939,14 @@ static uint16_t ssl_preset_default_sig_algs[] = {
     MBEDTLS_TLS1_3_SIG_RSA_PSS_RSAE_SHA256,
 #endif /* MBEDTLS_X509_RSASSA_PSS_SUPPORT && MBEDTLS_SHA256_C */
 
+#if defined(MBEDTLS_RSA_C) &&  defined(MBEDTLS_SHA512_C)
+    MBEDTLS_TLS1_3_SIG_RSA_PKCS1_SHA512,
+#endif /* MBEDTLS_RSA_C && MBEDTLS_SHA512_C */
+
+#if defined(MBEDTLS_RSA_C) &&  defined(MBEDTLS_SHA384_C)
+    MBEDTLS_TLS1_3_SIG_RSA_PKCS1_SHA384,
+#endif /* MBEDTLS_RSA_C && MBEDTLS_SHA384_C */
+
 #if defined(MBEDTLS_RSA_C) &&  defined(MBEDTLS_SHA256_C)
     MBEDTLS_TLS1_3_SIG_RSA_PKCS1_SHA256,
 #endif /* MBEDTLS_RSA_C && MBEDTLS_SHA256_C */