diff --git a/python/sglang/srt/managers/schedule_policy.py b/python/sglang/srt/managers/schedule_policy.py
index 777ecd343..3cd2be26b 100644
--- a/python/sglang/srt/managers/schedule_policy.py
+++ b/python/sglang/srt/managers/schedule_policy.py
@@ -468,6 +468,9 @@ class PrefillAdder:
             return AddReqResult.OTHER
 
         with self._lock_node(req.last_node):
+            if total_tokens > self.rem_total_tokens:
+                return AddReqResult.NO_TOKEN
+
             if (
                 enable_hierarchical_cache
                 and req.last_node_global is not None