diff --git a/scrapy/downloadermiddlewares/redirect.py b/scrapy/downloadermiddlewares/redirect.py
index 49468a2e4..b73f864dd 100644
--- a/scrapy/downloadermiddlewares/redirect.py
+++ b/scrapy/downloadermiddlewares/redirect.py
@@ -1,5 +1,5 @@
 import logging
-from six.moves.urllib.parse import urljoin
+from six.moves.urllib.parse import urljoin, urlparse
 
 from w3lib.url import safe_url_string
 
@@ -70,7 +70,10 @@ class RedirectMiddleware(BaseRedirectMiddleware):
         if 'Location' not in response.headers or response.status not in allowed_status:
             return response
 
-        location = safe_url_string(response.headers['location'])
+        location = safe_url_string(response.headers['Location'])
+        if response.headers['Location'].startswith(b'//'):
+            request_scheme = urlparse(request.url).scheme
+            location = request_scheme + '://' + location.lstrip('/')
 
         redirected_url = urljoin(request.url, location)
 
diff --git a/tests/test_downloadermiddleware_redirect.py b/tests/test_downloadermiddleware_redirect.py
index 0e841489d..e7faf14a7 100644
--- a/tests/test_downloadermiddleware_redirect.py
+++ b/tests/test_downloadermiddleware_redirect.py
@@ -106,6 +106,22 @@ class RedirectMiddlewareTest(unittest.TestCase):
         del rsp.headers['Location']
         assert self.mw.process_response(req, rsp, self.spider) is rsp
 
+    def test_redirect_302_relative(self):
+        url = 'http://www.example.com/302'
+        url2 = '///i8n.example2.com/302'
+        url3 = 'http://i8n.example2.com/302'
+        req = Request(url, method='HEAD')
+        rsp = Response(url, headers={'Location': url2}, status=302)
+
+        req2 = self.mw.process_response(req, rsp, self.spider)
+        assert isinstance(req2, Request)
+        self.assertEqual(req2.url, url3)
+        self.assertEqual(req2.method, 'HEAD')
+
+        # response without Location header but with status code is 3XX should be ignored
+        del rsp.headers['Location']
+        assert self.mw.process_response(req, rsp, self.spider) is rsp
+
 
     def test_max_redirect_times(self):
         self.mw.max_redirect_times = 1