diff --git a/vllm/config/scheduler.py b/vllm/config/scheduler.py
index 93002012799a..fdd3326ff66c 100644
--- a/vllm/config/scheduler.py
+++ b/vllm/config/scheduler.py
@@ -159,6 +159,11 @@ class SchedulerConfig:
     structured outputs, speculative decoding, and pipeline parallelism.
     """
 
+    include_finished_set: bool = False
+    """If set to True, a separate set of finished request ids will be included 
+    in the EngineCoreOutputs returned by update_from_outputs(). 
+    """
+
     def compute_hash(self) -> str:
         """
         WARNING: Whenever a new field is added to this config,
diff --git a/vllm/engine/arg_utils.py b/vllm/engine/arg_utils.py
index c058001ceb97..f3d8a907c0e1 100644
--- a/vllm/engine/arg_utils.py
+++ b/vllm/engine/arg_utils.py
@@ -380,6 +380,8 @@ class EngineArgs:
     disable_hybrid_kv_cache_manager: bool = (
         SchedulerConfig.disable_hybrid_kv_cache_manager)
 
+    include_finished_set: bool = (SchedulerConfig.include_finished_set)
+
     guided_decoding_backend: GuidedDecodingBackend = DecodingConfig.backend
     guided_decoding_disable_fallback: bool = DecodingConfig.disable_fallback
     guided_decoding_disable_any_whitespace: bool = \
@@ -814,6 +816,9 @@ def add_cli_args(parser: FlexibleArgumentParser) -> FlexibleArgumentParser:
             **scheduler_kwargs["disable_hybrid_kv_cache_manager"])
         scheduler_group.add_argument("--async-scheduling",
                                      **scheduler_kwargs["async_scheduling"])
+        scheduler_group.add_argument(
+            "--include-finished-set",
+            **scheduler_kwargs["include_finished_set"])
 
         # vLLM arguments
         vllm_kwargs = get_kwargs(VllmConfig)
@@ -1280,6 +1285,7 @@ def create_engine_config(
             disable_hybrid_kv_cache_manager=self.
             disable_hybrid_kv_cache_manager,
             async_scheduling=self.async_scheduling,
+            include_finished_set=self.include_finished_set,
         )
 
         if not model_config.is_multimodal_model and self.default_mm_loras:
diff --git a/vllm/v1/engine/core.py b/vllm/v1/engine/core.py
index f92a3e43da1f..0359d73f2b27 100644
--- a/vllm/v1/engine/core.py
+++ b/vllm/v1/engine/core.py
@@ -121,7 +121,7 @@ def __init__(self,
             kv_cache_config=kv_cache_config,
             structured_output_manager=self.structured_output_manager,
             include_finished_set=vllm_config.parallel_config.data_parallel_size
-            > 1,
+            > 1 or vllm_config.scheduler_config.include_finished_set,
             log_stats=self.log_stats,
         )