diff --git a/django/contrib/staticfiles/storage.py b/django/contrib/staticfiles/storage.py
index 97e7e9c494..67ce5dccee 100644
--- a/django/contrib/staticfiles/storage.py
+++ b/django/contrib/staticfiles/storage.py
@@ -67,7 +67,7 @@ class CachedFilesMixin(object):
 
     def hashed_name(self, name, content=None):
         parsed_name = urlsplit(unquote(name))
-        clean_name = parsed_name.path
+        clean_name = parsed_name.path.strip()
         if content is None:
             if not self.exists(clean_name):
                 raise ValueError("The file '%s' could not be found with %r." %
diff --git a/tests/regressiontests/staticfiles_tests/project/documents/cached/denorm.css b/tests/regressiontests/staticfiles_tests/project/documents/cached/denorm.css
index 27b9a349b0..d6567b00dd 100644
--- a/tests/regressiontests/staticfiles_tests/project/documents/cached/denorm.css
+++ b/tests/regressiontests/staticfiles_tests/project/documents/cached/denorm.css
@@ -1 +1,4 @@
 @import url("..//cached///styles.css");
+body {
+    background: #d3d6d8 url(img/relative.png );
+}
diff --git a/tests/regressiontests/staticfiles_tests/tests.py b/tests/regressiontests/staticfiles_tests/tests.py
index 7850b44b77..38075643a0 100644
--- a/tests/regressiontests/staticfiles_tests/tests.py
+++ b/tests/regressiontests/staticfiles_tests/tests.py
@@ -427,11 +427,13 @@ class TestCollectionCachedStorage(BaseCollectionTestCase,
 
     def test_template_tag_denorm(self):
         relpath = self.cached_file_path("cached/denorm.css")
-        self.assertEqual(relpath, "cached/denorm.363de96e9b4b.css")
+        self.assertEqual(relpath, "cached/denorm.c5bd139ad821.css")
         with storage.staticfiles_storage.open(relpath) as relfile:
             content = relfile.read()
             self.assertNotIn("..//cached///styles.css", content)
             self.assertIn("/static/cached/styles.93b1147e8552.css", content)
+            self.assertNotIn("url(img/relative.png )", content)
+            self.assertIn("/static/cached/img/relative.acae32e4532b.png", content)
 
     def test_template_tag_relative(self):
         relpath = self.cached_file_path("cached/relative.css")