diff --git a/sentry_sdk/integrations/openai.py b/sentry_sdk/integrations/openai.py
index 121823db5f..073f4546c6 100644
--- a/sentry_sdk/integrations/openai.py
+++ b/sentry_sdk/integrations/openai.py
@@ -237,10 +237,6 @@ def _set_responses_api_input_data(
     if model is not None:
         span.set_data(SPANDATA.GEN_AI_REQUEST_MODEL, model)
 
-    stream = kwargs.get("stream")
-    if stream is not None and _is_given(stream):
-        span.set_data(SPANDATA.GEN_AI_RESPONSE_STREAMING, stream)
-
     max_tokens = kwargs.get("max_output_tokens")
     if max_tokens is not None and _is_given(max_tokens):
         span.set_data(SPANDATA.GEN_AI_REQUEST_MAX_TOKENS, max_tokens)
@@ -1059,12 +1055,16 @@ def _new_responses_create_common(f: "Any", *args: "Any", **kwargs: "Any") -> "An
     span.__enter__()
 
     span.set_data(SPANDATA.GEN_AI_SYSTEM, "openai")
+
+    # Same bool handling as in https://github.com/openai/openai-python/blob/acd0c54d8a68efeedde0e5b4e6c310eef1ce7867/src/openai/resources/responses/responses.py#L940
+    is_streaming_response = kwargs.get("stream", False) or False
+    span.set_data(SPANDATA.GEN_AI_RESPONSE_STREAMING, is_streaming_response)
+
     _set_responses_api_input_data(span, kwargs, integration)
 
     start_time = time.perf_counter()
     response = yield f, args, kwargs
 
-    is_streaming_response = kwargs.get("stream", False)
     if is_streaming_response:
         _set_streaming_responses_api_output_data(
             span, response, kwargs, integration, start_time, finish_span=True
diff --git a/tests/integrations/openai/test_openai.py b/tests/integrations/openai/test_openai.py
index d06bfecbc0..2b3d8c442f 100644
--- a/tests/integrations/openai/test_openai.py
+++ b/tests/integrations/openai/test_openai.py
@@ -1892,6 +1892,7 @@ def test_ai_client_span_responses_api_no_pii(sentry_init, capture_events):
         "gen_ai.request.top_p": 0.9,
         "gen_ai.request.model": "gpt-4o",
         "gen_ai.response.model": "response-model-id",
+        "gen_ai.response.streaming": False,
         "gen_ai.system": "openai",
         "gen_ai.usage.input_tokens": 20,
         "gen_ai.usage.input_tokens.cached": 5,
@@ -2009,6 +2010,7 @@ def test_ai_client_span_responses_api(
         "gen_ai.request.top_p": 0.9,
         "gen_ai.system": "openai",
         "gen_ai.response.model": "response-model-id",
+        "gen_ai.response.streaming": False,
         "gen_ai.usage.input_tokens": 20,
         "gen_ai.usage.input_tokens.cached": 5,
         "gen_ai.usage.output_tokens": 10,
@@ -2318,6 +2320,7 @@ async def test_ai_client_span_responses_async_api(
         "gen_ai.request.messages": '["How do I check if a Python object is an instance of a class?"]',
         "gen_ai.request.model": "gpt-4o",
         "gen_ai.response.model": "response-model-id",
+        "gen_ai.response.streaming": False,
         "gen_ai.system": "openai",
         "gen_ai.usage.input_tokens": 20,
         "gen_ai.usage.input_tokens.cached": 5,