diff --git a/tests/test_cluster.py b/tests/test_cluster.py
index 4cc2f5f103..57fe630ac8 100644
--- a/tests/test_cluster.py
+++ b/tests/test_cluster.py
@@ -6,7 +6,7 @@
 
 import pytest
 
-from redis import Redis
+from redis import Redis, exceptions
 from redis.backoff import ExponentialBackoff, NoBackoff, default_backoff
 from redis.cluster import (
     PRIMARY,
@@ -43,6 +43,7 @@
     skip_unless_arch_bits,
     wait_for_command,
 )
+from .test_credentials import init_acl_user, init_required_pass
 
 default_host = "127.0.0.1"
 default_port = 7000
@@ -2138,6 +2139,39 @@ def teardown():
         assert "client-info" in r.acl_log(count=1, target_nodes=node)[0]
         assert r.acl_log_reset(target_nodes=node)
 
+    @skip_if_redis_enterprise()
+    def test_auth_requirepass(self, request):
+        r = _get_client(RedisCluster, request, flushdb=False)
+        # Test for default user (`username` is supposed to be optional)
+        default_username = "default"
+        temp_pass = "temp_pass"
+        init_required_pass(r, request, temp_pass)
+        r2 = _get_client(
+            RedisCluster,
+            request,
+            flushdb=False,
+            username=default_username,
+            password=temp_pass,
+        )
+        assert r2.auth(temp_pass, default_username) is True
+        assert r2.auth(temp_pass) is True
+
+    @skip_if_redis_enterprise()
+    def test_auth_acl(self, request):
+        r = _get_client(RedisCluster, request, flushdb=False)
+        # test for ACL users
+        username = "redis-py-auth"
+        password = "strong_password"
+
+        init_acl_user(r, request, username, password)
+        r2 = _get_client(
+            RedisCluster, request, flushdb=False, username=username, password=password
+        )
+        assert r2.auth(username=username, password="strong_password") is True
+
+        with pytest.raises(exceptions.AuthenticationError):
+            r2.auth(username=username, password="wrong_password")
+
 
 @pytest.mark.onlycluster
 class TestNodesManager:
diff --git a/tests/test_commands.py b/tests/test_commands.py
index aa6745b34b..b871040d24 100644
--- a/tests/test_commands.py
+++ b/tests/test_commands.py
@@ -66,6 +66,7 @@ def test_case_insensitive_command_names(self, r):
 
 
 class TestRedisCommands:
+    @pytest.mark.onlynoncluster
     @skip_if_redis_enterprise()
     def test_auth(self, r, request):
         # sending an AUTH command before setting a user/password on the
@@ -88,19 +89,13 @@ def test_auth(self, r, request):
         username = "redis-py-auth"
 
         def teardown():
-            try:
-                # this is needed because after an AuthenticationError the connection
-                # is closed, and if we send an AUTH command a new connection is
-                # created, but in this case we'd get an "Authentication required"
-                # error when switching to the db 9 because we're not authenticated yet
-                # setting the password on the connection itself triggers the
-                # authentication in the connection's `on_connect` method
-                r.connection.password = temp_pass
-            except AttributeError:
-                # connection field is not set in Redis Cluster, but that's ok
-                # because the problem discussed above does not apply to Redis Cluster
-                pass
-
+            # this is needed because after an AuthenticationError the connection
+            # is closed, and if we send an AUTH command a new connection is
+            # created, but in this case we'd get an "Authentication required"
+            # error when switching to the db 9 because we're not authenticated yet
+            # setting the password on the connection itself triggers the
+            # authentication in the connection's `on_connect` method
+            r.connection.password = temp_pass
             r.auth(temp_pass)
             r.config_set("requirepass", "")
             r.acl_deluser(username)
diff --git a/tests/test_credentials.py b/tests/test_credentials.py
index 9aeb1ef1d5..d4ab0f165f 100644
--- a/tests/test_credentials.py
+++ b/tests/test_credentials.py
@@ -54,6 +54,7 @@ def init_acl_user(r, request, username, password):
                     "+select",
                     "+flushdb",
                     "+cluster",
+                    "+acl",
                 ],
             )
             is True