diff --git a/rstream/client.py b/rstream/client.py
index 807a3d4..976507a 100644
--- a/rstream/client.py
+++ b/rstream/client.py
@@ -246,10 +246,6 @@ async def run_queue_listener_task(self, subscriber_name: str, handler: HT[FT]) -
                 self._run_delivery_handlers(subscriber_name, handler),
             )
 
-    async def destroy_queue_listener_task(self, subscriber_name: str) -> None:
-        if subscriber_name in self._frames:
-            self.stop_task(f"run_delivery_handlers_{subscriber_name}")
-
     async def _run_delivery_handlers(self, subscriber_name: str, handler: HT[FT]):
         while self.is_connection_alive():
             frame_entry = await self._frames[subscriber_name].get()
diff --git a/rstream/consumer.py b/rstream/consumer.py
index 591718f..32ade3f 100644
--- a/rstream/consumer.py
+++ b/rstream/consumer.py
@@ -325,8 +325,6 @@ async def unsubscribe(self, subscriber_name: str) -> None:
             await self._clients[stream].remove_stream(stream)
             await self._clients[stream].free_available_id(subscriber.subscription_id)
 
-        subscriber.client.destroy_queue_listener_task(subscriber_name)
-
         del self._subscribers[subscriber_name]
 
     async def query_offset(self, stream: str, subscriber_name: str) -> int:
diff --git a/tests/test_consumer.py b/tests/test_consumer.py
index d31fe3d..3d81b33 100644
--- a/tests/test_consumer.py
+++ b/tests/test_consumer.py
@@ -261,6 +261,28 @@ async def test_consume_with_resubscribe(stream: str, consumer: Consumer, produce
     assert captured == [b"one", b"two"]
 
 
+async def test_consume_with_resubscribe_msg(stream: str, consumer: Consumer, producer: Producer) -> None:
+    captured: list[bytes] = []
+    subscriber_name = await consumer.subscribe(
+        stream, callback=lambda message, message_context: captured.append(bytes(message))
+    )
+    for i in range(100):
+        await producer.send_wait(stream, b"one")
+    await wait_for(lambda: len(captured) >= 100)
+
+    await consumer.unsubscribe(subscriber_name)
+    await consumer.subscribe(
+        stream,
+        subscriber_name=subscriber_name,
+        callback=lambda message, message_context: captured.append(bytes(message)),
+        offset_specification=ConsumerOffsetSpecification(OffsetType.NEXT, None),
+    )
+
+    for i in range(100):
+        await producer.send_wait(stream, b"two")
+    await wait_for(lambda: len(captured) >= 200)
+
+
 async def test_consume_superstream_with_resubscribe(
     super_stream: str, super_stream_consumer: SuperStreamConsumer, super_stream_producer: SuperStreamProducer
 ) -> None: