diff --git a/redis/asyncio/cluster.py b/redis/asyncio/cluster.py
index 2894004403..3fe3ebc47e 100644
--- a/redis/asyncio/cluster.py
+++ b/redis/asyncio/cluster.py
@@ -755,7 +755,6 @@ class ClusterNode:
     """
 
     __slots__ = (
-        "_command_stack",
         "_connections",
         "_free",
         "connection_class",
@@ -796,7 +795,6 @@ def __init__(
 
         self._connections: List[Connection] = []
         self._free: Deque[Connection] = collections.deque(maxlen=self.max_connections)
-        self._command_stack: List["PipelineCommand"] = []
 
     def __repr__(self) -> str:
         return (
@@ -887,18 +885,18 @@ async def execute_command(self, *args: Any, **kwargs: Any) -> Any:
             # Release connection
             self._free.append(connection)
 
-    async def execute_pipeline(self) -> bool:
+    async def execute_pipeline(self, commands: List["PipelineCommand"]) -> bool:
         # Acquire connection
         connection = self.acquire_connection()
 
         # Execute command
         await connection.send_packed_command(
-            connection.pack_commands(cmd.args for cmd in self._command_stack), False
+            connection.pack_commands(cmd.args for cmd in commands), False
         )
 
         # Read responses
         ret = False
-        for cmd in self._command_stack:
+        for cmd in commands:
             try:
                 cmd.result = await self.parse_response(
                     connection, cmd.args[0], **cmd.kwargs
@@ -1365,12 +1363,14 @@ async def _execute(
 
             node = target_nodes[0]
             if node.name not in nodes:
-                nodes[node.name] = node
-                node._command_stack = []
-            node._command_stack.append(cmd)
+                nodes[node.name] = (node, [])
+            nodes[node.name][1].append(cmd)
 
         errors = await asyncio.gather(
-            *(asyncio.ensure_future(node.execute_pipeline()) for node in nodes.values())
+            *(
+                asyncio.ensure_future(node[0].execute_pipeline(node[1]))
+                for node in nodes.values()
+            )
         )
 
         if any(errors):
diff --git a/tests/test_asyncio/test_cluster.py b/tests/test_asyncio/test_cluster.py
index f4ea5cd7ac..0d0ea33db2 100644
--- a/tests/test_asyncio/test_cluster.py
+++ b/tests/test_asyncio/test_cluster.py
@@ -2476,3 +2476,11 @@ async def test_readonly_pipeline_from_readonly_client(
                         executed_on_replica = True
                         break
             assert executed_on_replica
+
+    async def test_can_run_concurrent_pipelines(self, r: RedisCluster) -> None:
+        """Test that the pipeline can be used concurrently."""
+        await asyncio.gather(
+            *(self.test_redis_cluster_pipeline(r) for i in range(100)),
+            *(self.test_multi_key_operation_with_a_single_slot(r) for i in range(100)),
+            *(self.test_multi_key_operation_with_multi_slots(r) for i in range(100)),
+        )