diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index 2e20c9ea88ab07..62aa74cbf765c5 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -773,7 +773,9 @@ class Http2Session extends EventEmitter {
     const setupFn = setupHandle(this, socket, type, options);
     if (socket.connecting) {
       this[kState].connecting = true;
-      socket.once('connect', setupFn);
+      const connectEvent =
+        socket instanceof tls.TLSSocket ? 'secureConnect' : 'connect';
+      socket.once(connectEvent, setupFn);
     } else {
       setupFn();
     }