diff --git a/Lib/tokenize.py b/Lib/tokenize.py
index 33c5e41d7ae..b952b365c2a 100644
--- a/Lib/tokenize.py
+++ b/Lib/tokenize.py
@@ -78,6 +78,7 @@ def maybe(*choices): return apply(group, choices) + '?'
 # longest operators first (e.g., if = came before ==, == would get
 # recognized as two instances of =).
 Operator = group(r"\*\*=?", r">>=?", r"<<=?", r"<>", r"!=",
+                 r"//=?",
                  r"[+\-*/%&|^=<>]=?",
                  r"~")