diff --git a/src/agents/extensions/models/litellm_model.py b/src/agents/extensions/models/litellm_model.py
index 2fc10ae43..8d9d4270e 100644
--- a/src/agents/extensions/models/litellm_model.py
+++ b/src/agents/extensions/models/litellm_model.py
@@ -32,6 +32,7 @@
 )
 from openai.types.chat.chat_completion_message_function_tool_call import Function
 from openai.types.responses import Response
+from openai.types.responses.tool_choice_function import ToolChoiceFunction
 
 from ... import _debug
 from ...agent_output import AgentOutputSchemaBase
@@ -77,6 +78,68 @@ def __init__(
         self.base_url = base_url
         self.api_key = api_key
 
+    @staticmethod
+    def _convert_tool_choice_for_response(
+        tool_choice: Any,
+    ) -> Literal["auto", "required", "none"] | ToolChoiceFunction:
+        """
+        Convert various tool_choice formats to the format expected by Response.
+
+        Args:
+            tool_choice: Can be:
+                - omit/NotGiven: Defaults to "auto"
+                - Literal["auto", "required", "none"]: Used directly
+                - ToolChoiceFunction: Used directly
+                - dict (from ChatCompletions Converter): Converted to ToolChoiceFunction
+                    Format: {"type": "function", "function": {"name": "tool_name"}}
+
+        Returns:
+            Literal["auto", "required", "none"] | ToolChoiceFunction
+
+        Examples:
+            >>> LitellmModel._convert_tool_choice_for_response(omit)
+            "auto"
+            >>> LitellmModel._convert_tool_choice_for_response("required")
+            "required"
+            >>> LitellmModel._convert_tool_choice_for_response(
+            ...     {"type": "function", "function": {"name": "my_tool"}}
+            ... )
+            ToolChoiceFunction(type="function", name="my_tool")
+        """
+        # Handle omit/NotGiven
+        if tool_choice is omit or isinstance(tool_choice, NotGiven):
+            return "auto"
+
+        # Already a ToolChoiceFunction, use directly
+        if isinstance(tool_choice, ToolChoiceFunction):
+            return tool_choice
+
+        # Convert from ChatCompletions format dict to ToolChoiceFunction
+        # ChatCompletions Converter returns: {"type": "function", "function": {"name": "..."}}
+        if isinstance(tool_choice, dict):
+            func_data = tool_choice.get("function")
+            if (
+                tool_choice.get("type") == "function"
+                and func_data is not None
+                and isinstance(func_data, dict)
+            ):
+                tool_name = func_data.get("name")
+                if isinstance(tool_name, str) and tool_name:  # Ensure non-empty string
+                    return ToolChoiceFunction(type="function", name=tool_name)
+                else:
+                    # Fallback to auto if name is missing or invalid
+                    return "auto"
+            else:
+                # Fallback to auto if unexpected format
+                return "auto"
+
+        # Handle literal strings
+        if tool_choice in ("auto", "required", "none"):
+            return cast(Literal["auto", "required", "none"], tool_choice)
+
+        # Fallback to auto for any other case
+        return "auto"
+
     async def get_response(
         self,
         system_instructions: str | None,
@@ -367,15 +430,16 @@ async def _fetch_response(
         if isinstance(ret, litellm.types.utils.ModelResponse):
             return ret
 
+        # Convert tool_choice to the correct type for Response
+        response_tool_choice = self._convert_tool_choice_for_response(tool_choice)
+
         response = Response(
             id=FAKE_RESPONSES_ID,
             created_at=time.time(),
             model=self.model,
             object="response",
             output=[],
-            tool_choice=cast(Literal["auto", "required", "none"], tool_choice)
-            if tool_choice is not omit
-            else "auto",
+            tool_choice=response_tool_choice,
             top_p=model_settings.top_p,
             temperature=model_settings.temperature,
             tools=[],
diff --git a/tests/extensions/test_litellm_tool_choice_conversion.py b/tests/extensions/test_litellm_tool_choice_conversion.py
new file mode 100644
index 000000000..ede12d33a
--- /dev/null
+++ b/tests/extensions/test_litellm_tool_choice_conversion.py
@@ -0,0 +1,156 @@
+"""
+Unit tests for LitellmModel._convert_tool_choice_for_response
+
+Tests the static method that converts various tool_choice formats
+to the format expected by the Response type.
+
+Related to Issue #1846: Support tool_choice with specific tool names in LiteLLM streaming
+"""
+
+from openai import NotGiven, omit
+from openai.types.responses.tool_choice_function import ToolChoiceFunction
+
+from agents.extensions.models.litellm_model import LitellmModel
+
+
+class TestConvertToolChoiceForResponse:
+    """Test the _convert_tool_choice_for_response static method."""
+
+    def test_convert_omit_returns_auto(self):
+        """Test that omit is converted to 'auto'"""
+        result = LitellmModel._convert_tool_choice_for_response(omit)
+        assert result == "auto"
+
+    def test_convert_not_given_returns_auto(self):
+        """Test that NotGiven is converted to 'auto'"""
+        result = LitellmModel._convert_tool_choice_for_response(NotGiven())
+        assert result == "auto"
+
+    def test_convert_literal_auto(self):
+        """Test that literal 'auto' is preserved"""
+        result = LitellmModel._convert_tool_choice_for_response("auto")
+        assert result == "auto"
+
+    def test_convert_literal_required(self):
+        """Test that literal 'required' is preserved"""
+        result = LitellmModel._convert_tool_choice_for_response("required")
+        assert result == "required"
+
+    def test_convert_literal_none(self):
+        """Test that literal 'none' is preserved"""
+        result = LitellmModel._convert_tool_choice_for_response("none")
+        assert result == "none"
+
+    def test_convert_tool_choice_function_preserved(self):
+        """Test that ToolChoiceFunction is preserved as-is"""
+        tool_choice = ToolChoiceFunction(type="function", name="my_tool")
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice)
+        assert result == tool_choice
+        assert isinstance(result, ToolChoiceFunction)
+        assert result.name == "my_tool"
+
+    def test_convert_dict_from_chatcompletions_converter(self):
+        """
+        Test conversion from ChatCompletions Converter dict format.
+        Format: {"type": "function", "function": {"name": "tool_name"}}
+        """
+        tool_choice_dict = {
+            "type": "function",
+            "function": {"name": "my_custom_tool"},
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert isinstance(result, ToolChoiceFunction)
+        assert result.type == "function"
+        assert result.name == "my_custom_tool"
+
+    def test_convert_dict_missing_function_name_returns_auto(self):
+        """Test that dict without function name falls back to 'auto'"""
+        tool_choice_dict = {
+            "type": "function",
+            "function": {},  # Missing 'name'
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert result == "auto"
+
+    def test_convert_dict_empty_function_name_returns_auto(self):
+        """Test that dict with empty function name falls back to 'auto'"""
+        tool_choice_dict = {
+            "type": "function",
+            "function": {"name": ""},  # Empty name
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert result == "auto"
+
+    def test_convert_dict_missing_function_key_returns_auto(self):
+        """Test that dict without 'function' key falls back to 'auto'"""
+        tool_choice_dict = {"type": "function"}  # Missing 'function' key
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert result == "auto"
+
+    def test_convert_dict_wrong_type_returns_auto(self):
+        """Test that dict with wrong type falls back to 'auto'"""
+        tool_choice_dict = {
+            "type": "wrong_type",
+            "function": {"name": "my_tool"},
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert result == "auto"
+
+    def test_convert_dict_function_not_dict_returns_auto(self):
+        """Test that dict with non-dict function value falls back to 'auto'"""
+        tool_choice_dict = {
+            "type": "function",
+            "function": "not_a_dict",
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert result == "auto"
+
+    def test_convert_unexpected_type_returns_auto(self):
+        """Test that unexpected types fall back to 'auto'"""
+        result = LitellmModel._convert_tool_choice_for_response(123)
+        assert result == "auto"
+
+        result = LitellmModel._convert_tool_choice_for_response([])
+        assert result == "auto"
+
+        result = LitellmModel._convert_tool_choice_for_response(None)
+        assert result == "auto"
+
+
+class TestToolChoiceConversionEdgeCases:
+    """Test edge cases and real-world scenarios."""
+
+    def test_real_world_scenario_chatcompletions_format(self):
+        """
+        Test a real-world scenario from ChatCompletions Converter.
+        This is the actual format returned when tool_choice specifies a tool name.
+        """
+        # This is what ChatCompletions Converter returns
+        tool_choice_from_converter = {
+            "type": "function",
+            "function": {"name": "get_weather"},
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_from_converter)
+        assert isinstance(result, ToolChoiceFunction)
+        assert result.name == "get_weather"
+        assert result.type == "function"
+
+    def test_none_string_vs_none_literal(self):
+        """Test that string 'none' works but None (NoneType) defaults to auto"""
+        # String "none" should be preserved
+        result = LitellmModel._convert_tool_choice_for_response("none")
+        assert result == "none"
+
+        # NoneType should fallback to auto
+        result = LitellmModel._convert_tool_choice_for_response(None)
+        assert result == "auto"
+
+    def test_complex_tool_name(self):
+        """Test that complex tool names are handled correctly"""
+        tool_choice_dict = {
+            "type": "function",
+            "function": {"name": "get_user_profile_with_special_chars_123"},
+        }
+        result = LitellmModel._convert_tool_choice_for_response(tool_choice_dict)
+        assert isinstance(result, ToolChoiceFunction)
+        assert result.name == "get_user_profile_with_special_chars_123"