diff --git a/mercurial/httpclient/__init__.py b/mercurial/httpclient/__init__.py
--- a/mercurial/httpclient/__init__.py
+++ b/mercurial/httpclient/__init__.py
@@ -629,9 +629,11 @@ class HTTPConnection(object):
         r = self._current_response
         while r.headers is None:
             r._select()
-        if r.complete() or r.will_close:
+        if r.will_close:
             self.sock = None
             self._current_response = None
+        elif r.complete():
+            self._current_response = None
         else:
             self._current_response_taken = True
         return r
diff --git a/mercurial/httpclient/tests/simple_http_test.py b/mercurial/httpclient/tests/simple_http_test.py
--- a/mercurial/httpclient/tests/simple_http_test.py
+++ b/mercurial/httpclient/tests/simple_http_test.py
@@ -116,6 +116,9 @@ dotencode
         self.assertEqual('1234567890', resp.read())
         self.assertEqual(['Value\n Rest of value'],
                          resp.headers.getheaders('multiline'))
+        # Socket should not be closed
+        self.assertEqual(resp.sock.closed, False)
+        self.assertEqual(con.sock.closed, False)
 
     def testSimpleRequest(self):
         con = http.HTTPConnection('1.2.3.4:80')