diff --git a/telethon/client/updates.py b/telethon/client/updates.py
index 86d5adee..e649b683 100644
--- a/telethon/client/updates.py
+++ b/telethon/client/updates.py
@@ -311,6 +311,7 @@ class UpdateMethods:
         if self._dispatching_updates_queue is None:
             task = self._loop.create_task(self._dispatch_update(*args))
             self._updates_queue.add(task)
+            task.add_done_callback(lambda _: None if task.cancelled() else task.exception())
             task.add_done_callback(lambda _: self._updates_queue.discard(task))
         else:
             self._updates_queue.put_nowait(args)
diff --git a/telethon/network/mtprotosender.py b/telethon/network/mtprotosender.py
index aada87e5..78ee981c 100644
--- a/telethon/network/mtprotosender.py
+++ b/telethon/network/mtprotosender.py
@@ -315,6 +315,7 @@ class MTProtoSender:
             for state in self._pending_state.values():
                 if error and not state.future.done():
                     state.future.set_exception(error)
+                    state.future.exception()
                 else:
                     state.future.cancel()
 
@@ -331,6 +332,7 @@ class MTProtoSender:
         if self._disconnected and not self._disconnected.done():
             if error:
                 self._disconnected.set_exception(error)
+                self._disconnected.exception()
             else:
                 self._disconnected.set_result(None)