diff --git a/python/sglang/srt/managers/schedule_policy.py b/python/sglang/srt/managers/schedule_policy.py
index eeccea89b..abe7da9ea 100644
--- a/python/sglang/srt/managers/schedule_policy.py
+++ b/python/sglang/srt/managers/schedule_policy.py
@@ -142,7 +142,7 @@ class PrefillAdder:
 
         self.req_states = None
         self.can_run_list = []
-        self.new_inflight_req = None
+        self.new_being_chunked_req = None
         self.log_hit_tokens = 0
         self.log_input_tokens = 0
 
@@ -182,7 +182,7 @@ class PrefillAdder:
         self.log_hit_tokens += prefix_len
         self.log_input_tokens += extend_input_len
 
-    def add_inflight_req(self, req: Req):
+    def add_being_chunked_req(self, req: Req):
         truncated = req.extend_input_len > self.rem_chunk_tokens
         req.extend_input_len = min(req.extend_input_len, self.rem_chunk_tokens)
         req.fill_ids = req.fill_ids[: len(req.prefix_indices) + req.extend_input_len]
@@ -269,10 +269,13 @@ class PrefillAdder:
         else:
             # Chunked prefill
             trunc_len = self.rem_chunk_tokens
+            if trunc_len == 0:
+                return AddReqResult.OTHER
+
             req.extend_input_len = trunc_len
             req.fill_ids = req.fill_ids[:trunc_len]
             self.can_run_list.append(req)
-            self.new_inflight_req = req
+            self.new_being_chunked_req = req
             self._prefill_one_req(0, trunc_len, 0)
 
         return self.budget_state()
@@ -326,7 +329,7 @@ class PrefillAdder:
                 req.extend_input_len = trunc_len
                 req.fill_ids = req.fill_ids[: len(req.prefix_indices) + trunc_len]
                 self.can_run_list.append(req)
-                self.new_inflight_req = req
+                self.new_being_chunked_req = req
                 self.tree_cache.inc_lock_ref(req.last_node)
                 self._prefill_one_req(prefix_len, trunc_len, 0)
 
diff --git a/python/sglang/srt/managers/scheduler.py b/python/sglang/srt/managers/scheduler.py
index 95ac0bd0c..41895e067 100644
--- a/python/sglang/srt/managers/scheduler.py
+++ b/python/sglang/srt/managers/scheduler.py
@@ -660,7 +660,7 @@ class Scheduler:
 
         self.waiting_queue.append(req)
 
-    def log_prefill_stats(self, adder, can_run_list, running_bs, has_inflight):
+    def log_prefill_stats(self, adder, can_run_list, running_bs, has_being_chunked):
         if isinstance(self.tree_cache, RadixCache):
             self.tree_cache_metrics["total"] += (
                 adder.log_input_tokens + adder.log_hit_tokens
@@ -684,14 +684,14 @@ class Scheduler:
             f"cache hit rate: {100.0 * tree_cache_hit_rate:.2f}%, "
             f"token usage: {num_used / self.max_total_num_tokens:.2f}, "
             f"#running-req: {running_bs}, "
-            f"#queue-req: {len(self.waiting_queue) + has_inflight}"
+            f"#queue-req: {len(self.waiting_queue) + has_being_chunked}"
         )
 
         if self.enable_metrics:
             self.stats.num_running_reqs = running_bs
             self.stats.num_used_tokens = num_used
             self.stats.token_usage = round(num_used / self.max_total_num_tokens, 2)
-            self.stats.num_queue_reqs = len(self.waiting_queue) + has_inflight
+            self.stats.num_queue_reqs = len(self.waiting_queue) + has_being_chunked
             self.stats.cache_hit_rate = tree_cache_hit_rate
             self.metrics_collector.log_stats(self.stats)
 
@@ -752,7 +752,7 @@ class Scheduler:
                 # Move the chunked request out of the batch
                 self.last_batch.filter_batch(being_chunked_req=self.being_chunked_req)
                 self.tree_cache.cache_unfinished_req(self.being_chunked_req)
-                # Inflight request keeps its rid but will get a new req_pool_idx
+                # being chunked request keeps its rid but will get a new req_pool_idx
                 self.req_to_token_pool.free(self.being_chunked_req.req_pool_idx)
                 self.batch_is_full = False
 
@@ -803,10 +803,10 @@ class Scheduler:
             running_bs if self.is_mixed_chunk else 0,
         )
 
-        has_inflight = self.being_chunked_req is not None
-        if has_inflight:
+        has_being_chunked = self.being_chunked_req is not None
+        if has_being_chunked:
             self.being_chunked_req.init_next_round_input()
-            self.being_chunked_req = adder.add_inflight_req(self.being_chunked_req)
+            self.being_chunked_req = adder.add_being_chunked_req(self.being_chunked_req)
 
         if self.lora_paths:
             lora_set = (
@@ -848,16 +848,16 @@ class Scheduler:
             x for x in self.waiting_queue if x not in set(can_run_list)
         ]
 
-        if adder.new_inflight_req is not None:
+        if adder.new_being_chunked_req is not None:
             assert self.being_chunked_req is None
-            self.being_chunked_req = adder.new_inflight_req
+            self.being_chunked_req = adder.new_being_chunked_req
 
         if self.being_chunked_req:
             self.being_chunked_req.is_being_chunked += 1
 
         # Print stats
         if self.tp_rank == 0:
-            self.log_prefill_stats(adder, can_run_list, running_bs, has_inflight)
+            self.log_prefill_stats(adder, can_run_list, running_bs, has_being_chunked)
 
         # Create a new batch
         new_batch = ScheduleBatch.init_new(
@@ -1030,7 +1030,7 @@ class Scheduler:
                     if req.grammar is not None:
                         req.grammar.accept_token(next_token_id)
                 else:
-                    # Inflight reqs' prefill is not finished
+                    # being chunked reqs' prefill is not finished
                     req.is_being_chunked -= 1
 
             if batch.next_batch_sampling_info:
@@ -1058,7 +1058,7 @@ class Scheduler:
                     else:
                         self.tree_cache.cache_unfinished_req(req)
                 else:
-                    # Inflight reqs' prefill is not finished
+                    # being chunked reqs' prefill is not finished
                     req.is_being_chunked -= 1
 
         self.stream_output(batch.reqs)