diff --git a/agent/relay_llm.py b/agent/relay_llm.py
index 0189f792dfb..7480af3da5f 100644
--- a/agent/relay_llm.py
+++ b/agent/relay_llm.py
@@ -462,10 +462,14 @@ class ManagedLlmStream(Iterator[Any]):
             raise StopIteration
         if self._loop is None:
             try:
-                return next(self._stream)
+                chunk = next(self._stream)
             except StopIteration:
                 self.close()
                 raise
+            if self._accept_chunk is not None and not self._accept_chunk(chunk):
+                self.close()
+                raise StopIteration
+            return chunk
 
         async def next_chunk() -> Any:
             return await anext(self._stream)
diff --git a/tests/agent/test_relay_llm.py b/tests/agent/test_relay_llm.py
index ab3b9a261aa..c65ba2292c8 100644
--- a/tests/agent/test_relay_llm.py
+++ b/tests/agent/test_relay_llm.py
@@ -759,6 +759,33 @@ def test_stream_bypasses_relay_without_an_active_consumer(relay_turn, monkeypatc
     assert observed == [request]
 
 
+def test_bypassed_stream_still_honors_chunk_acceptance(relay_turn):
+    _relay, turn = relay_turn
+    turn.lease.host.release_managed_execution("test.relay_llm")
+    provider_closed = []
+
+    def provider_stream(_request):
+        try:
+            yield {"delta": "accepted"}
+            yield {"delta": "rejected"}
+            yield {"delta": "unreachable"}
+        finally:
+            provider_closed.append(True)
+
+    stream = relay_llm.stream(
+        {"model": "test-model", "messages": []},
+        provider_stream,
+        session_id="session-1",
+        name="test-provider",
+        model_name="test-model",
+        finalizer=dict,
+        accept_chunk=lambda chunk: chunk["delta"] != "rejected",
+    )
+
+    assert list(stream) == [{"delta": "accepted"}]
+    assert provider_closed == [True]
+
+
 def test_anthropic_codec_preserves_tool_history_and_cached_system_blocks(relay_turn):
     _relay, _turn = relay_turn
     request = {