diff --git a/CHANGELOG.md b/CHANGELOG.md
index 9441147..a506fda 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -11,7 +11,9 @@ Using the following categories, list your changes in this order:
 
 ## [Unreleased]
 
--   Nothing (yet)
+### Fixed
+
+-   Make sure WSGI `SlicedFile` is closed properly to prevent memory leaks.
 
 ## [2.1.0] - 2024-10-02
 
diff --git a/src/servestatic/responders.py b/src/servestatic/responders.py
index e83d191..f29c62d 100644
--- a/src/servestatic/responders.py
+++ b/src/servestatic/responders.py
@@ -68,6 +68,7 @@ def read(self, size=-1):
         return data
 
     def close(self):
+        super().close()
         self.fileobj.close()