diff --git a/litellm/litellm_core_utils/llm_response_utils/response_metadata.py b/litellm/litellm_core_utils/llm_response_utils/response_metadata.py
index c30090d7b8b..9d45426ca95 100644
--- a/litellm/litellm_core_utils/llm_response_utils/response_metadata.py
+++ b/litellm/litellm_core_utils/llm_response_utils/response_metadata.py
@@ -299,7 +299,7 @@ def update_response_metadata(
         # cannot hold ``_hidden_params``: keep only the timing on the logging object (no cost
         # recompute) so the proxy headers and the standard logging payload can still read it.
         logging_obj.set_response_timing_metrics(
-            response_timing_metrics(start_time, end_time, logging_obj, include_overhead)
+            _logging_obj_timing_metrics(start_time, end_time, logging_obj, include_overhead)
         )
         return
 
@@ -311,5 +311,20 @@ def update_response_metadata(
         # the response assembled from the chunks never inherits the stream wrapper's
         # ``_hidden_params``, so the logging payload reads the timing from the logging object
         logging_obj.set_response_timing_metrics(
-            response_timing_metrics(start_time, end_time, logging_obj, include_overhead)
+            _logging_obj_timing_metrics(start_time, end_time, logging_obj, include_overhead)
         )
+
+
+def _logging_obj_timing_metrics(
+    start_time: datetime.datetime,
+    end_time: datetime.datetime,
+    logging_obj: LiteLLMLoggingObject,
+    include_overhead: bool,
+) -> Mapping[str, float]:
+    """A stream read to completion keeps the overhead stamped when the stream was handed back."""
+    timing_metrics: Final = response_timing_metrics(start_time, end_time, logging_obj, include_overhead)
+    stamped: Final[Mapping[str, float]] = getattr(logging_obj, "response_timing_metrics", None) or {}
+    stamped_overhead_ms: Final = stamped.get("litellm_overhead_time_ms")
+    if include_overhead or stamped_overhead_ms is None:
+        return timing_metrics
+    return {**timing_metrics, "litellm_overhead_time_ms": stamped_overhead_ms}
diff --git a/tests/unit/litellm_core_utils/llm_response_utils/test_response_metadata.py b/tests/unit/litellm_core_utils/llm_response_utils/test_response_metadata.py
index 5f675b03ade..4c9b4e55c76 100644
--- a/tests/unit/litellm_core_utils/llm_response_utils/test_response_metadata.py
+++ b/tests/unit/litellm_core_utils/llm_response_utils/test_response_metadata.py
@@ -232,6 +232,33 @@ class TestDictResultsSkipMetadataUpdate:
         )
         assert result._hidden_params["litellm_overhead_time_ms"] == 100.0
 
+    def test_update_response_metadata_keeps_the_handoff_overhead_when_a_stream_is_read_to_completion(self):
+        """A Responses API stream stamps its overhead when the stream is handed back and calls again at
+        stream end with include_overhead=False; that second call must not wipe the stamp."""
+        result = ModelResponse()
+        logging_obj = MagicMock()
+        logging_obj.stream = True
+        logging_obj.response_timing_metrics = {"_response_ms": 300.0, "litellm_overhead_time_ms": 100.0}
+        logging_obj.model_call_details = {"llm_api_duration_ms": 200.0}
+        logging_obj.caching_details = None
+        logging_obj.response_cost_calculator = MagicMock(return_value=0.001)
+        logging_obj.litellm_call_id = "test-call-id"
+
+        update_response_metadata(
+            result=result,
+            logging_obj=logging_obj,
+            model="gpt-4",
+            kwargs={},
+            start_time=datetime.datetime(2025, 1, 1, 0, 0, 0),
+            end_time=datetime.datetime(2025, 1, 1, 0, 0, 10),
+            include_overhead=False,
+        )
+
+        logging_obj.set_response_timing_metrics.assert_called_once_with(
+            {"_response_ms": 10000.0, "litellm_overhead_time_ms": 100.0}
+        )
+        assert "litellm_overhead_time_ms" not in result._hidden_params
+
     def test_update_response_metadata_omits_overhead_for_completed_stream(self):
         """LIT-5466: the Responses streaming iterator finishes the whole stream before updating
         metadata, and the provider call it recorded stopped at the first byte."""
diff --git a/tests/unit/responses/test_streaming_iterator.py b/tests/unit/responses/test_streaming_iterator.py
index 5072f3d3108..c63af40b0d4 100644
--- a/tests/unit/responses/test_streaming_iterator.py
+++ b/tests/unit/responses/test_streaming_iterator.py
@@ -730,8 +730,10 @@ def test_run_post_success_hooks_does_not_report_generation_time_as_overhead():
     """LIT-5466: the provider call is timed to first byte, so at stream completion the total minus
     that duration is token generation, not LiteLLM overhead."""
     logging_obj = _logging_obj_stub()
+    logging_obj.stream = True
     logging_obj.model_call_details = {"litellm_params": {}, "llm_api_duration_ms": 200.0}
     logging_obj.caching_details = None
+    logging_obj.response_timing_metrics = {"_response_ms": 300.0, "litellm_overhead_time_ms": 100.0}
 
     class _CompletedEvent:
         def __init__(self) -> None:
@@ -745,6 +747,9 @@ def test_run_post_success_hooks_does_not_report_generation_time_as_overhead():
 
     assert iterator.completed_response._hidden_params["_response_ms"] == 10000.0
     assert "litellm_overhead_time_ms" not in iterator.completed_response._hidden_params
+    logging_obj.set_response_timing_metrics.assert_called_once_with(
+        {"_response_ms": 10000.0, "litellm_overhead_time_ms": 100.0}
+    )
 
 
 def _mock_config_with_completed_response(response: ResponsesAPIResponse) -> Mock: