diff --git a/dvc/remote/http.py b/dvc/remote/http.py
index ca68cac5b..c04256a46 100644
--- a/dvc/remote/http.py
+++ b/dvc/remote/http.py
@@ -103,7 +103,13 @@ class RemoteHTTP(RemoteBASE):
         try:
             res = self._session.request(method, url, **kwargs)
 
-            if kwargs["allow_redirects"] and res.status_code in (301, 302):
+            redirect_no_location = (
+                kwargs["allow_redirects"]
+                and res.status_code in (301, 302)
+                and "location" not in res.headers
+            )
+
+            if redirect_no_location:
                 # AWS s3 doesn't like to add a location header to its redirects
                 # from https://s3.amazonaws.com/<bucket name>/* type URLs.
                 # This should be treated as an error