diff --git a/django/models/core.py b/django/models/core.py
index 17519b53d8..f78f23f265 100644
--- a/django/models/core.py
+++ b/django/models/core.py
@@ -105,7 +105,7 @@ class Session(meta.Model):
         # The random module is seeded when this Apache child is created.
         # Use person_id and SECRET_KEY as added salt.
         while 1:
-            session_key = md5.new(str(random.randint(0, sys.maxint - 1)) + SECRET_KEY).hexdigest()
+            session_key = md5.new(str(random.randint(0, sys.maxint - 1)) + str(random.randint(0, sys.maxint - 1)) + SECRET_KEY).hexdigest()
             try:
                 get_object(session_key__exact=session_key)
             except SessionDoesNotExist: