diff --git a/tests/v1/core/test_scheduler.py b/tests/v1/core/test_scheduler.py
index 09acde6e08fa..fe4153e60997 100644
--- a/tests/v1/core/test_scheduler.py
+++ b/tests/v1/core/test_scheduler.py
@@ -641,6 +641,34 @@ def test_schedule_concurrent_batches(
     scheduler.update_from_output(scheduler_output1, model_runner_output)
 
 
+@pytest.mark.parametrize("enable_chunked_prefill", [True, False])
+def test_schedule_order(enable_chunked_prefill: bool):
+    scheduler = create_scheduler(
+        max_num_batched_tokens=1024,
+        max_num_seqs=3,
+        enable_chunked_prefill=enable_chunked_prefill,
+    )
+
+    # long requests
+    requests = create_requests(num_requests=2, num_tokens=800)
+    # short requests
+    requests += create_requests(num_requests=2, num_tokens=10)
+
+    for request in requests:
+        scheduler.add_request(request)
+
+    scheduler_output1 = scheduler.schedule()
+
+    if enable_chunked_prefill:
+        # When enable chunked prefill, long requests will be chunked.
+        assert len(scheduler_output1.scheduled_new_reqs) == 2
+    else:
+        # When disable chunked prefill, should not skip the long requests,
+        # and scheduling subsequent short requests in advance,
+        # even though there is still token budgets remaining.
+        assert len(scheduler_output1.scheduled_new_reqs) == 1
+
+
 def test_preempt_during_execution():
     # NOTE(woosuk): The actual number of available blocks is 10 instead of 11
     # because block 0 is reserved as the null block.
diff --git a/tests/v1/core/utils.py b/tests/v1/core/utils.py
index 6830f6873645..7537c7a60476 100644
--- a/tests/v1/core/utils.py
+++ b/tests/v1/core/utils.py
@@ -42,6 +42,7 @@ def create_scheduler(
     model: str = "facebook/opt-125m",
     max_num_seqs: int = 16,
     max_num_batched_tokens: int = 8192,
+    enable_chunked_prefill: bool = True,
     enable_prefix_caching: bool = False,
     long_prefill_token_threshold: int = 0,
     disable_chunked_mm_input: bool = False,
@@ -76,7 +77,7 @@ def create_scheduler(
         max_model_len=max_model_len,
         long_prefill_token_threshold=long_prefill_token_threshold,
         disable_chunked_mm_input=disable_chunked_mm_input,
-        enable_chunked_prefill=True,
+        enable_chunked_prefill=enable_chunked_prefill,
         async_scheduling=async_scheduling,
     )
     model_config = ModelConfig(
diff --git a/vllm/v1/core/sched/scheduler.py b/vllm/v1/core/sched/scheduler.py
index a7ec0de37263..23af014c1036 100644
--- a/vllm/v1/core/sched/scheduler.py
+++ b/vllm/v1/core/sched/scheduler.py
@@ -508,9 +508,9 @@ class Scheduler(SchedulerInterface):
                         not self.scheduler_config.enable_chunked_prefill
                         and num_new_tokens > token_budget
                     ):
-                        self.waiting.pop_request()
-                        skipped_waiting_requests.prepend_request(request)
-                        continue
+                        # If chunked_prefill is disabled,
+                        # we can stop the scheduling here.
+                        break
 
                     num_new_tokens = min(num_new_tokens, token_budget)
                     assert num_new_tokens > 0