diff --git a/vllm/spec_decode/multi_step_worker.py b/vllm/spec_decode/multi_step_worker.py
index d249b37c780e4..676ac5eb3609d 100644
--- a/vllm/spec_decode/multi_step_worker.py
+++ b/vllm/spec_decode/multi_step_worker.py
@@ -120,6 +120,9 @@ def sampler_output(
                     indices_of_seq_with_bonus_tokens)
                 model_outputs.append(model_output)
 
+        # move indices to device to avoid stream sync
+        indices_of_seq_with_bonus_tokens = torch.tensor(
+            indices_of_seq_with_bonus_tokens, device=self.device)
         filtered_model_outputs = self._filter_model_output(
             model_outputs, indices_of_seq_with_bonus_tokens)
         return filtered_model_outputs, True
@@ -189,7 +192,7 @@ def _expand_execute_model_request(
     @staticmethod
     def _filter_model_output(
             expanded_batch_outputs: List[SamplerOutput],
-            output_indices_to_retain: List[int]) -> List[SamplerOutput]:
+            output_indices_to_retain: torch.Tensor) -> List[SamplerOutput]:
         """
         Filters the model output to include only the specified sequence
         outputs. This method contracts the expanded batch output from the
@@ -199,8 +202,8 @@ def _filter_model_output(
         Args:
             expanded_batch_output (List[SamplerOutput]): The expanded output
                 batch from the model.
-            output_indices_to_retain (List[int]): Indices of the model outputs
-                to retain.
+            output_indices_to_retain (torch.Tensor): Indices of the model
+                outputs to retain.
 
         Returns:
             List[SamplerOutput]: A list containing the filtered model