diff --git a/changelog.d/8680.misc b/changelog.d/8680.misc
new file mode 100644
index 0000000000..2ca2975464
--- /dev/null
+++ b/changelog.d/8680.misc
@@ -0,0 +1 @@
+Don't require `hiredis` package to be installed to run unit tests.
diff --git a/tests/replication/_base.py b/tests/replication/_base.py
index f1e53f33cd..5c633ac6df 100644
--- a/tests/replication/_base.py
+++ b/tests/replication/_base.py
@@ -16,7 +16,6 @@ import logging
 from typing import Any, Callable, List, Optional, Tuple
 
 import attr
-import hiredis
 
 from twisted.internet.interfaces import IConsumer, IPullProducer, IReactorTime
 from twisted.internet.protocol import Protocol
@@ -39,12 +38,22 @@ from synapse.util import Clock
 from tests import unittest
 from tests.server import FakeTransport, render
 
+try:
+    import hiredis
+except ImportError:
+    hiredis = None
+
 logger = logging.getLogger(__name__)
 
 
 class BaseStreamTestCase(unittest.HomeserverTestCase):
     """Base class for tests of the replication streams"""
 
+    # hiredis is an optional dependency so we don't want to require it for running
+    # the tests.
+    if not hiredis:
+        skip = "Requires hiredis"
+
     servlets = [
         streams.register_servlets,
     ]