diff --git a/django/contrib/staticfiles/management/commands/collectstatic.py b/django/contrib/staticfiles/management/commands/collectstatic.py
index 246f960583c57..341537ffa728b 100644
--- a/django/contrib/staticfiles/management/commands/collectstatic.py
+++ b/django/contrib/staticfiles/management/commands/collectstatic.py
@@ -1,3 +1,5 @@
+from __future__ import with_statement
+
 import os
 import sys
 from optparse import make_option
@@ -9,6 +11,7 @@
 
 from django.contrib.staticfiles import finders
 
+
 class Command(NoArgsCommand):
     """
     Command that allows to copy or symlink media files from different
@@ -236,7 +239,7 @@ def copy_file(self, path, prefixed_path, source_storage):
                     os.makedirs(os.path.dirname(full_path))
                 except OSError:
                     pass
-            source_file = source_storage.open(path)
-            self.storage.save(prefixed_path, source_file)
+            with source_storage.open(path) as source_file:
+                self.storage.save(prefixed_path, source_file)
         if not prefixed_path in self.copied_files:
             self.copied_files.append(prefixed_path)