diff --git a/aiohttp_client_cache/backends/base.py b/aiohttp_client_cache/backends/base.py
index 87f55fa..c6a2598 100644
--- a/aiohttp_client_cache/backends/base.py
+++ b/aiohttp_client_cache/backends/base.py
@@ -254,7 +254,7 @@ async def close(self):
         await self.responses.close()
         await self.redirects.close()
 
-    async def close_if_enabled(self):
+    async def _close_if_enabled(self):
         """Close any active connections, if ``autoclose`` is enabled"""
         if self.autoclose:
             await self.close()
diff --git a/aiohttp_client_cache/session.py b/aiohttp_client_cache/session.py
index 498a128..ef81c77 100644
--- a/aiohttp_client_cache/session.py
+++ b/aiohttp_client_cache/session.py
@@ -65,7 +65,7 @@ async def _request(
     async def close(self):
         """Close both aiohttp connector and any backend connection(s) on contextmanager exit"""
         await super().close()
-        await self.cache.close_if_enabled()
+        await self.cache._close_if_enabled()
 
     @asynccontextmanager
     async def disabled(self):