diff --git a/src/testcurl/https/test_https_sni.c b/src/testcurl/https/test_https_sni.c
index cc7d1f43..4ffe1d8f 100644
--- a/src/testcurl/https/test_https_sni.c
+++ b/src/testcurl/https/test_https_sni.c
@@ -257,6 +257,7 @@ main (int argc, char *const *argv)
   struct MHD_Daemon *d;
   int port;
   (void) argc;   /* Unused. Silent compiler warning. */
+  const char *tls_backend;
 
   if (MHD_NO != MHD_is_feature_supported (MHD_FEATURE_AUTODETECT_BIND_PORT))
     port = 0;
@@ -271,12 +272,21 @@ main (int argc, char *const *argv)
 #endif /* MHD_HTTPS_REQUIRE_GRYPT */
   if (! testsuite_curl_global_init ())
     return 99;
-  if (NULL == curl_version_info (CURLVERSION_NOW)->ssl_version)
+  tls_backend = curl_version_info (CURLVERSION_NOW)->ssl_version;
+  if (NULL == tls_backend)
   {
     fprintf (stderr, "Curl does not support SSL.  Cannot run the test.\n");
     curl_global_cleanup ();
     return 77;
   }
+  if (! curl_tls_is_gnutls () && ! curl_tls_is_openssl ())
+  {
+    fprintf (stderr, "This test is reliable only with libcurl with GnuTLS or "
+             "OpenSSL backends.\nSkipping the test as libcurl has '%s' "
+             "backend.\n", tls_backend);
+    curl_global_cleanup ();
+    return 77;
+  }
 
   load_keys ("mhdhost1", ABS_SRCDIR "/mhdhost1.crt",
              ABS_SRCDIR "/mhdhost1.key");
diff --git a/src/testcurl/https/tls_test_common.c b/src/testcurl/https/tls_test_common.c
index 36134ecc..8d33e5d4 100644
--- a/src/testcurl/https/tls_test_common.c
+++ b/src/testcurl/https/tls_test_common.c
@@ -601,6 +601,26 @@ curl_tls_is_gnutls (void)
 }
 
 
+int
+curl_tls_is_openssl (void)
+{
+  const char *tlslib;
+  if (inited_tls_is_gnutls)
+    return 0;
+  if (inited_tls_is_openssl)
+    return 1;
+
+  tlslib = curl_version_info (CURLVERSION_NOW)->ssl_version;
+  if (NULL == tlslib)
+    return 0;
+  if (0 == strncmp (tlslib, "OpenSSL/", 8))
+    return 1;
+
+  /* Multi-backends handled during initialization by setting variable */
+  return 0;
+}
+
+
 int
 curl_tls_is_nss (void)
 {