diff --git a/apiclient/http.py b/apiclient/http.py
index 31a1c44..f518d87 100644
--- a/apiclient/http.py
+++ b/apiclient/http.py
@@ -508,8 +508,6 @@
     self._progress = 0
     self._total_size = None
     self._done = False
-    self._original_follow_redirects = request.http.follow_redirects
-    request.http.follow_redirects = False
 
     # Stubs for testing.
     self._sleep = time.sleep
@@ -551,10 +549,9 @@
       if resp.status < 500:
         break
 
-    if resp.status in [301, 302, 303, 307, 308] and 'location' in resp:
-        self._uri = resp['location']
-        resp, content = http.request(self._uri, headers=headers)
     if resp.status in [200, 206]:
+      if 'content-location' in resp and resp['content-location'] != self._uri:
+        self._uri = resp['content-location']
       self._progress += len(content)
       self._fd.write(content)
 
@@ -565,7 +562,6 @@
 
       if self._progress == self._total_size:
         self._done = True
-        self._request.http.follow_redirects = self._original_follow_redirects
       return MediaDownloadProgress(self._progress, self._total_size), self._done
     else:
       raise HttpError(resp, content, uri=self._uri)