diff --git a/CHANGES.rst b/CHANGES.rst
index 34c965df..fd71d35f 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -7,6 +7,7 @@ Released 2023-00-00
 -   Permanent session otherwise empty will not be saved.
 -   Use `secrets` module to generate session identifiers, with 256 bits of
     entropy (was previously 122).
+-   Explicitly name support for python-memcached, pylibmc and pymemcache.
 -   Introduce SESSION_KEY_LENGTH to control the length of the session key in bytes, default is 32.
 -   Fix expiry is None bug in SQLAlchemy.
 -   Drop support for Redis < 2.6.12.
diff --git a/docs/interfaces.rst b/docs/interfaces.rst
index f45d66a4..ac4e3811 100644
--- a/docs/interfaces.rst
+++ b/docs/interfaces.rst
@@ -25,7 +25,7 @@ Relevant configuration values:
 :class:`MemcachedSessionInterface`
 ----------------------------------
 
-Uses the Memcached as a session backend. (`pylibmc`_ or `memcache`_ required)
+Uses the Memcached as a session backend. (`pylibmc`_ or `python-memcached`_ or `pymemcache` required)
 
 - SESSION_MEMCACHED
 
diff --git a/requirements/pytest.txt b/requirements/pytest.txt
index 74f9ef06..25311c8e 100644
--- a/requirements/pytest.txt
+++ b/requirements/pytest.txt
@@ -11,7 +11,7 @@ pytest-cov
 
 # Requirements for interfaces
 redis
-python3-memcached
+python-memcached
 Flask-SQLAlchemy
 pymongo
 
diff --git a/src/flask_session/sessions.py b/src/flask_session/sessions.py
index 787738ab..3d5efe9e 100644
--- a/src/flask_session/sessions.py
+++ b/src/flask_session/sessions.py
@@ -226,26 +226,25 @@ class MemcachedSessionInterface(ServerSideSessionInterface):
     def __init__(self, client, key_prefix, use_signer, permanent, sid_length):
         if client is None:
             client = self._get_preferred_memcache_client()
-            if client is None:
-                raise RuntimeError("no memcache module found")
         self.client = client
         super().__init__(client, key_prefix, use_signer, permanent, sid_length)
 
     def _get_preferred_memcache_client(self):
-        servers = ["127.0.0.1:11211"]
-        try:
-            import pylibmc
-        except ImportError:
-            pass
-        else:
-            return pylibmc.Client(servers)
+        clients = [
+            ("pylibmc", ["127.0.0.1:11211"]),
+            ("memcache", ["127.0.0.1:11211"]),
+            ("pymemcache.client.base", "127.0.0.1:11211"),
+        ]
 
-        try:
-            import memcache
-        except ImportError:
-            pass
-        else:
-            return memcache.Client(servers)
+        for module_name, server in clients:
+            try:
+                module = __import__(module_name)
+                ClientClass = getattr(module, "Client")
+                return ClientClass(server)
+            except ImportError:
+                continue
+
+        raise ImportError("No memcache module found")
 
     def _get_memcache_timeout(self, timeout):
         """