diff --git a/plugins/node/opentelemetry-instrumentation-net/src/instrumentation.ts b/plugins/node/opentelemetry-instrumentation-net/src/instrumentation.ts
index 848744bf42..e3aa6f1e33 100644
--- a/plugins/node/opentelemetry-instrumentation-net/src/instrumentation.ts
+++ b/plugins/node/opentelemetry-instrumentation-net/src/instrumentation.ts
@@ -162,7 +162,11 @@ export class NetInstrumentation extends InstrumentationBase<Net> {
       }
     };
 
-    for (const event of [SocketEvent.CLOSE, SocketEvent.ERROR]) {
+    for (const event of [
+      SocketEvent.CLOSE,
+      SocketEvent.ERROR,
+      SocketEvent.SECURE_CONNECT,
+    ]) {
       socket.once(event, otelTlsRemoveListeners);
     }