diff --git a/test/internet/test-tls-autoselectfamily-servername.js b/test/internet/test-tls-autoselectfamily-servername.js
new file mode 100644
index 00000000000000..ae53875b677821
--- /dev/null
+++ b/test/internet/test-tls-autoselectfamily-servername.js
@@ -0,0 +1,38 @@
+'use strict';
+
+const common = require('../common');
+const { addresses: { INET_HOST } } = require('../common/internet');
+
+if (!common.hasCrypto) {
+  common.skip('missing crypto');
+}
+
+const { setDefaultAutoSelectFamilyAttemptTimeout } = require('net');
+const { connect } = require('tls');
+
+// Some of the windows machines in the CI need more time to establish connection
+setDefaultAutoSelectFamilyAttemptTimeout(common.platformTimeout(common.isWindows ? 1500 : 250));
+
+// Test that TLS connecting works without autoSelectFamily
+{
+  const socket = connect({
+    host: INET_HOST,
+    port: 443,
+    servername: INET_HOST,
+    autoSelectFamily: false,
+  });
+
+  socket.on('secureConnect', common.mustCall(() => socket.end()));
+}
+
+// Test that TLS connecting works with autoSelectFamily
+{
+  const socket = connect({
+    host: INET_HOST,
+    port: 443,
+    servername: INET_HOST,
+    autoSelectFamily: true,
+  });
+
+  socket.on('secureConnect', common.mustCall(() => socket.end()));
+}