diff --git a/src/private-to-private/transport.ts b/src/private-to-private/transport.ts
index 69d8554..3a3c5c3 100644
--- a/src/private-to-private/transport.ts
+++ b/src/private-to-private/transport.ts
@@ -149,6 +149,9 @@ export class WebRTCTransport implements Transport, Startable {
       // reset the stream in case of any error
       signalingStream.reset()
       throw err
+    } finally {
+      // Close the signaling connection
+      await connection.close()
     }
   }