diff --git a/playwright/_impl/_connection.py b/playwright/_impl/_connection.py
index a9659a9f1..66e1a3239 100644
--- a/playwright/_impl/_connection.py
+++ b/playwright/_impl/_connection.py
@@ -220,6 +220,8 @@ def _dispatch(self, msg: ParsedMessagePayload) -> None:
         id = msg.get("id")
         if id:
             callback = self._callbacks.pop(id)
+            if callback.future.cancelled():
+                return
             error = msg.get("error")
             if error:
                 parsed_error = parse_error(error["error"])  # type: ignore