diff --git a/channels_redis/core.py b/channels_redis/core.py
index 1111fc2..a164059 100644
--- a/channels_redis/core.py
+++ b/channels_redis/core.py
@@ -15,7 +15,13 @@
 from channels.exceptions import ChannelFull
 from channels.layers import BaseChannelLayer
 
-from .utils import _consistent_hash, _wrap_close, create_pool, decode_hosts
+from .utils import (
+    _close_redis,
+    _consistent_hash,
+    _wrap_close,
+    create_pool,
+    decode_hosts,
+)
 
 logger = logging.getLogger(__name__)
 
@@ -86,7 +92,7 @@ async def flush(self):
         async with self._lock:
             for index in list(self._connections):
                 connection = self._connections.pop(index)
-                await connection.close(close_connection_pool=True)
+                await _close_redis(connection)
 
 
 class RedisChannelLayer(BaseChannelLayer):
diff --git a/channels_redis/pubsub.py b/channels_redis/pubsub.py
index 78db68e..21771ab 100644
--- a/channels_redis/pubsub.py
+++ b/channels_redis/pubsub.py
@@ -6,7 +6,13 @@
 import msgpack
 from redis import asyncio as aioredis
 
-from .utils import _consistent_hash, _wrap_close, create_pool, decode_hosts
+from .utils import (
+    _close_redis,
+    _consistent_hash,
+    _wrap_close,
+    create_pool,
+    decode_hosts,
+)
 
 logger = logging.getLogger(__name__)
 
@@ -285,7 +291,7 @@ async def flush(self):
                 # The pool was created just for this client, so make sure it is closed,
                 # otherwise it will schedule the connection to be closed inside the
                 # __del__ method, which doesn't have a loop running anymore.
-                await self._redis.close(close_connection_pool=True)
+                await _close_redis(self._redis)
                 self._redis = None
                 self._pubsub = None
             self._subscribed_to = set()
diff --git a/channels_redis/utils.py b/channels_redis/utils.py
index 98e06ca..6f15050 100644
--- a/channels_redis/utils.py
+++ b/channels_redis/utils.py
@@ -35,6 +35,16 @@ def _wrapper(self, *args, **kwargs):
     loop.close = types.MethodType(_wrapper, loop)
 
 
+async def _close_redis(connection):
+    """
+    Handle compatibility with redis-py 4.x and 5.x close methods
+    """
+    try:
+        await connection.aclose(close_connection_pool=True)
+    except AttributeError:
+        await connection.close(close_connection_pool=True)
+
+
 def decode_hosts(hosts):
     """
     Takes the value of the "hosts" argument and returns
diff --git a/tests/test_pubsub.py b/tests/test_pubsub.py
index 78ad080..3c00dd6 100644
--- a/tests/test_pubsub.py
+++ b/tests/test_pubsub.py
@@ -8,6 +8,7 @@
 
 from asgiref.sync import async_to_sync
 from channels_redis.pubsub import RedisPubSubChannelLayer
+from channels_redis.utils import _close_redis
 
 TEST_HOSTS = ["redis://localhost:6379"]
 
@@ -239,10 +240,10 @@ async def test_auto_reconnect(channel_layer):
     channel_name3 = await channel_layer.new_channel(prefix="test-gr-chan-3")
     await channel_layer.group_add("test-group", channel_name1)
     await channel_layer.group_add("test-group", channel_name2)
-    await channel_layer._shards[0]._redis.close(close_connection_pool=True)
+    await _close_redis(channel_layer._shards[0]._redis)
     await channel_layer.group_add("test-group", channel_name3)
     await channel_layer.group_discard("test-group", channel_name2)
-    await channel_layer._shards[0]._redis.close(close_connection_pool=True)
+    await _close_redis(channel_layer._shards[0]._redis)
     await asyncio.sleep(1)
     await channel_layer.group_send("test-group", {"type": "message.1"})
     # Make sure we get the message on the two channels that were in
diff --git a/tests/test_pubsub_sentinel.py b/tests/test_pubsub_sentinel.py
index 049e39b..41b7de2 100644
--- a/tests/test_pubsub_sentinel.py
+++ b/tests/test_pubsub_sentinel.py
@@ -6,6 +6,7 @@
 
 from asgiref.sync import async_to_sync
 from channels_redis.pubsub import RedisPubSubChannelLayer
+from channels_redis.utils import _close_redis
 
 SENTINEL_MASTER = "sentinel"
 SENTINEL_KWARGS = {"password": "channels_redis"}
@@ -188,10 +189,10 @@ async def test_auto_reconnect(channel_layer):
     channel_name3 = await channel_layer.new_channel(prefix="test-gr-chan-3")
     await channel_layer.group_add("test-group", channel_name1)
     await channel_layer.group_add("test-group", channel_name2)
-    await channel_layer._shards[0]._redis.close(close_connection_pool=True)
+    await _close_redis(channel_layer._shards[0]._redis)
     await channel_layer.group_add("test-group", channel_name3)
     await channel_layer.group_discard("test-group", channel_name2)
-    await channel_layer._shards[0]._redis.close(close_connection_pool=True)
+    await _close_redis(channel_layer._shards[0]._redis)
     await asyncio.sleep(1)
     await channel_layer.group_send("test-group", {"type": "message.1"})
     # Make sure we get the message on the two channels that were in