diff --git a/django/http/response.py b/django/http/response.py
index ed5c14eef8..94d14ddb54 100644
--- a/django/http/response.py
+++ b/django/http/response.py
@@ -190,6 +190,8 @@ class HttpResponseBase(six.Iterator):
                 max_age = max(0, delta.days * 86400 + delta.seconds)
             else:
                 self.cookies[key]['expires'] = expires
+        else:
+            self.cookies[key]['expires'] = ''
         if max_age is not None:
             self.cookies[key]['max-age'] = max_age
             # IE requires expires, so set it if hasn't been already.
diff --git a/tests/requests/tests.py b/tests/requests/tests.py
index 66fe8c92ec..180a5bca6b 100644
--- a/tests/requests/tests.py
+++ b/tests/requests/tests.py
@@ -208,6 +208,18 @@ class RequestsTests(SimpleTestCase):
         datetime_cookie = response.cookies['datetime']
         self.assertEqual(datetime_cookie['max-age'], 10)
 
+    def test_create_cookie_after_deleting_cookie(self):
+        """
+        Setting a cookie after deletion should clear the expiry date.
+        """
+        response = HttpResponse()
+        response.set_cookie('c', 'old-value')
+        self.assertEqual(response.cookies['c']['expires'], '')
+        response.delete_cookie('c')
+        self.assertEqual(response.cookies['c']['expires'], 'Thu, 01-Jan-1970 00:00:00 GMT')
+        response.set_cookie('c', 'new-value')
+        self.assertEqual(response.cookies['c']['expires'], '')
+
     def test_far_expiration(self):
         "Cookie will expire when an distant expiration time is provided"
         response = HttpResponse()