diff --git a/python/packages/a2a/agent_framework_a2a/_agent.py b/python/packages/a2a/agent_framework_a2a/_agent.py
index bc175ccc48..bb2baf1bb5 100644
--- a/python/packages/a2a/agent_framework_a2a/_agent.py
+++ b/python/packages/a2a/agent_framework_a2a/_agent.py
@@ -129,6 +129,7 @@ def __init__(
         self._timeout_config = self._create_timeout_config(timeout)
         if client is not None:
             self.client = client
+            self._non_streaming_client: Client | None = None
             self._close_http_client = True
             return
         if agent_card is None:
@@ -144,17 +145,30 @@ def __init__(
             self._http_client = http_client  # Store for cleanup
             self._close_http_client = True
 
-        # Create A2A client using factory
-        config = ClientConfig(
+        interceptors = [auth_interceptor] if auth_interceptor is not None else None
+
+        # Create streaming client (SSE transport for stream=True)
+        streaming_config = ClientConfig(
             httpx_client=http_client,
+            streaming=True,
             supported_protocol_bindings=["JSONRPC"],
         )
-        factory = ClientFactory(config)
-        interceptors = [auth_interceptor] if auth_interceptor is not None else None
+        # Create non-streaming client (single request/response for stream=False)
+        non_streaming_config = ClientConfig(
+            httpx_client=http_client,
+            streaming=False,
+            supported_protocol_bindings=["JSONRPC"],
+        )
+        streaming_factory = ClientFactory(streaming_config)
+        non_streaming_factory = ClientFactory(non_streaming_config)
 
         # Attempt transport negotiation with the provided agent card
         try:
-            self.client = factory.create(agent_card, interceptors=interceptors)  # type: ignore
+            self.client = streaming_factory.create(agent_card, interceptors=interceptors)  # type: ignore
+            self._non_streaming_client = non_streaming_factory.create(
+                agent_card,
+                interceptors=interceptors,  # type: ignore
+            )
         except Exception as transport_error:
             # Transport negotiation failed - fall back to minimal agent card with JSONRPC
             fallback_url = agent_card.supported_interfaces[0].url if agent_card.supported_interfaces else url
@@ -166,7 +180,11 @@ def __init__(
                 ) from transport_error
             fallback_card = minimal_agent_card(fallback_url, ["JSONRPC"])
             try:
-                self.client = factory.create(fallback_card, interceptors=interceptors)  # type: ignore
+                self.client = streaming_factory.create(fallback_card, interceptors=interceptors)  # type: ignore
+                self._non_streaming_client = non_streaming_factory.create(
+                    fallback_card,
+                    interceptors=interceptors,  # type: ignore
+                )
             except Exception as fallback_error:
                 raise RuntimeError(
                     f"A2A transport negotiation failed. "
@@ -282,6 +300,13 @@ def run(  # pyright: ignore[reportIncompatibleMethodOverride]
         del function_invocation_kwargs, client_kwargs, kwargs
         normalized_messages = normalize_messages(messages)
 
+        # Use non-streaming transport for non-streaming calls when available.
+        # This sends a single HTTP request/response instead of opening an SSE
+        # connection, matching the protocol's intent for synchronous operations.
+        active_client = (
+            self._non_streaming_client if (not stream and self._non_streaming_client is not None) else self.client
+        )
+
         if continuation_token is not None:
             a2a_stream: AsyncIterable[A2AStreamItem] = self.client.subscribe(
                 SubscribeToTaskRequest(id=continuation_token["task_id"])
@@ -293,7 +318,11 @@ def run(  # pyright: ignore[reportIncompatibleMethodOverride]
                 normalized_messages[-1],
                 context_id=session.service_session_id if session else None,
             )
-            a2a_stream = self.client.send_message(SendMessageRequest(message=a2a_message))
+            request = SendMessageRequest(message=a2a_message)
+            if background and not stream:
+                # return_immediately only applies to non-streaming (message/send)
+                request.configuration.return_immediately = True
+            a2a_stream = active_client.send_message(request)
 
         provider_session = session
         if provider_session is None and self.context_providers:
diff --git a/python/packages/a2a/tests/test_a2a_agent.py b/python/packages/a2a/tests/test_a2a_agent.py
index 76294f30bf..f5474bc374 100644
--- a/python/packages/a2a/tests/test_a2a_agent.py
+++ b/python/packages/a2a/tests/test_a2a_agent.py
@@ -44,6 +44,7 @@ def __init__(self) -> None:
         self.subscribe_responses: list[StreamResponse] = []
         self.get_task_response: Task | None = None
         self.last_message: Any = None
+        self.last_request: Any = None
 
     def add_message_response(self, message_id: str, text: str, role: str = "agent") -> None:
         """Add a mock Message response."""
@@ -91,6 +92,7 @@ def add_in_progress_task_response(
 
     async def send_message(self, request: Any) -> AsyncIterator[StreamResponse]:
         """Mock send_message method that yields responses."""
+        self.last_request = request
         self.last_message = getattr(request, "message", request)
         self.call_count += 1
 
@@ -745,6 +747,96 @@ async def test_working_task_no_token_without_background(a2a_agent: A2AAgent, moc
     assert response.continuation_token is None
 
 
+async def test_background_sets_return_immediately_on_request(
+    a2a_agent: A2AAgent, mock_a2a_client: MockA2AClient
+) -> None:
+    """Test that background=True sets return_immediately=True on SendMessageRequest configuration."""
+    mock_a2a_client.add_in_progress_task_response("task-bg", state=TaskState.TASK_STATE_WORKING)
+
+    await a2a_agent.run("Background task", background=True)
+
+    assert mock_a2a_client.last_request.configuration.return_immediately is True
+
+
+async def test_foreground_does_not_set_return_immediately(
+    a2a_agent: A2AAgent, mock_a2a_client: MockA2AClient
+) -> None:
+    """Test that background=False (default) does not set configuration on SendMessageRequest."""
+    mock_a2a_client.add_task_response("task-fg2", [{"id": "art-1", "content": "Done"}])
+
+    await a2a_agent.run("Foreground task")
+
+    assert mock_a2a_client.last_request.HasField("configuration") is False
+
+
+async def test_streaming_background_does_not_set_return_immediately(
+    a2a_agent: A2AAgent, mock_a2a_client: MockA2AClient
+) -> None:
+    """Test that background=True with stream=True does not set return_immediately.
+
+    Per A2A spec, return_immediately only applies to non-streaming (message/send).
+    """
+    mock_a2a_client.add_task_response("task-sb", [{"id": "art-1", "content": "Streaming bg"}])
+
+    updates: list[AgentResponseUpdate] = []
+    async for update in a2a_agent.run("Stream background", stream=True, background=True):
+        updates.append(update)
+
+    assert mock_a2a_client.last_request.HasField("configuration") is False
+
+
+async def test_non_streaming_run_uses_non_streaming_client() -> None:
+    """Test that stream=False uses the non-streaming client when available."""
+    streaming_client = MockA2AClient()
+    non_streaming_client = MockA2AClient()
+    non_streaming_client.add_task_response("task-ns", [{"id": "art-1", "content": "Non-streaming result"}])
+
+    agent = A2AAgent(name="Test Agent", id="test-ns", client=streaming_client, http_client=None)
+    agent._non_streaming_client = non_streaming_client  # type: ignore[assignment]
+
+    response = await agent.run("Hello")
+
+    # Non-streaming client should have been called
+    assert non_streaming_client.call_count == 1
+    assert streaming_client.call_count == 0
+    assert response.messages[0].text == "Non-streaming result"
+    assert non_streaming_client.last_request.HasField("configuration") is False
+
+
+async def test_streaming_run_uses_streaming_client() -> None:
+    """Test that stream=True always uses the streaming client."""
+    streaming_client = MockA2AClient()
+    non_streaming_client = MockA2AClient()
+    streaming_client.add_task_response("task-s", [{"id": "art-1", "content": "Streaming result"}])
+
+    agent = A2AAgent(name="Test Agent", id="test-s", client=streaming_client, http_client=None)
+    agent._non_streaming_client = non_streaming_client  # type: ignore[assignment]
+
+    updates: list[AgentResponseUpdate] = []
+    async for update in agent.run("Hello", stream=True):
+        updates.append(update)
+
+    # Streaming client should have been called
+    assert streaming_client.call_count == 1
+    assert non_streaming_client.call_count == 0
+    assert updates[0].contents[0].text == "Streaming result"
+
+
+async def test_non_streaming_client_fallback_when_not_available(
+    a2a_agent: A2AAgent, mock_a2a_client: MockA2AClient
+) -> None:
+    """Test that stream=False falls back to streaming client when non-streaming client is unavailable."""
+    mock_a2a_client.add_task_response("task-fb", [{"id": "art-1", "content": "Fallback result"}])
+
+    # a2a_agent is created with client= param so _non_streaming_client is None
+    assert a2a_agent._non_streaming_client is None
+
+    response = await a2a_agent.run("Hello")
+
+    assert mock_a2a_client.call_count == 1
+    assert response.messages[0].text == "Fallback result"
+
+
 async def test_completed_task_has_no_continuation_token(a2a_agent: A2AAgent, mock_a2a_client: MockA2AClient) -> None:
     """Test that a completed task does not set a continuation token."""
     mock_a2a_client.add_task_response("task-done", [{"id": "art-1", "content": "Result"}])