diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index 9d8d6bc2c860fa..4f2e1569858440 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -3119,7 +3119,7 @@ function initializeTLSOptions(options, servername) {
   options.ALPNProtocols = ['h2'];
   if (options.allowHTTP1 === true)
     ArrayPrototypePush(options.ALPNProtocols, 'http/1.1');
-  if (servername !== undefined && options.servername === undefined)
+  if (servername !== undefined && !options.servername)
     options.servername = servername;
   return options;
 }
diff --git a/test/parallel/test-http2-create-client-secure-session.js b/test/parallel/test-http2-create-client-secure-session.js
index 4303786b3e435d..2f7678cc689825 100644
--- a/test/parallel/test-http2-create-client-secure-session.js
+++ b/test/parallel/test-http2-create-client-secure-session.js
@@ -91,3 +91,9 @@ verifySecureSession(
   loadKey('agent1-cert.pem'),
   loadKey('ca1-cert.pem'),
   { servername: 'agent1' });
+
+verifySecureSession(
+  loadKey('agent8-key.pem'),
+  loadKey('agent8-cert.pem'),
+  loadKey('fake-startcom-root-cert.pem'),
+  { servername: '' });