diff --git a/rstream/client.py b/rstream/client.py
index 35c3134..be78a6c 100644
--- a/rstream/client.py
+++ b/rstream/client.py
@@ -249,6 +249,8 @@ async def run_queue_listener_task(self, subscriber_name: str, handler: HT[FT]) -
 
     async def stop_queue_listener_task(self, subscriber_name: str) -> None:
         await self.stop_task(name=f"run_delivery_handlers_{subscriber_name}")
+        while not self._frames[subscriber_name].empty():
+            self._frames[subscriber_name].get_nowait()
 
     async def _run_delivery_handlers(self, subscriber_name: str, handler: HT[FT]):
         while self.is_connection_alive():
diff --git a/tests/test_consumer.py b/tests/test_consumer.py
index df25263..cd19eeb 100644
--- a/tests/test_consumer.py
+++ b/tests/test_consumer.py
@@ -205,6 +205,50 @@ async def test_consumer_callback(stream: str, consumer: Consumer, producer: Prod
         assert offset >= 0 and offset < 100
 
 
+async def test_consumer_resubscribe_when_not_consumed_events_in_queue(
+    consumer: Consumer, producer: Producer
+) -> None:
+    stream_name = "stream"
+    await producer.create_stream(stream=stream_name)
+
+    processed_offsets_1: asyncio.Queue[int] = asyncio.Queue(1)
+    processed_offsets_2 = []
+
+    async def long_running_cb(message: AMQPMessage, message_context: MessageContext) -> None:
+        await processed_offsets_1.put(message_context.offset)
+
+    async def write_processed_messages_cb(message: AMQPMessage, message_context: MessageContext) -> None:
+        processed_offsets_2.append(message_context.offset)
+
+    for _ in range(10):
+        await producer.send_wait(
+            stream=stream_name,
+            message=b"msg",
+        )
+
+    try:
+        async with consumer:
+            subscriber_name = await consumer.subscribe(
+                stream=stream_name, callback=long_running_cb, initial_credit=10
+            )
+            await wait_for(lambda: processed_offsets_1.full())
+
+            await consumer.unsubscribe(subscriber_name)
+
+            await consumer.subscribe(
+                stream=stream_name,
+                callback=write_processed_messages_cb,
+                initial_credit=10,
+                offset_specification=ConsumerOffsetSpecification(offset_type=OffsetType.OFFSET, offset=6),
+            )
+
+            await wait_for(lambda: len(processed_offsets_2) > 1)
+            assert processed_offsets_2[0] == 6
+    finally:
+        await producer.delete_stream(stream_name)
+        await producer.close()
+
+
 async def test_offset_type_timestamp(stream: str, consumer: Consumer, producer: Producer) -> None:
     messages = [str(i).encode() for i in range(1, 5_000)]
     await producer.send_batch(stream, messages)