diff --git a/libs/core/langchain_core/runnables/history.py b/libs/core/langchain_core/runnables/history.py
index 96e901a5dae..a8b338fce92 100644
--- a/libs/core/langchain_core/runnables/history.py
+++ b/libs/core/langchain_core/runnables/history.py
@@ -537,8 +537,9 @@ class RunnableWithMessageHistory(RunnableBindingBase):
         configurable = config.get("configurable", {})
 
         missing_keys = set(expected_keys) - set(configurable.keys())
+        parameter_names = _get_parameter_names(self.get_session_history)
 
-        if missing_keys:
+        if missing_keys and parameter_names:
             example_input = {self.input_messages_key: "foo"}
             example_configurable = {
                 missing_key: "[your-value-here]" for missing_key in missing_keys
@@ -551,11 +552,16 @@ class RunnableWithMessageHistory(RunnableBindingBase):
                 f"e.g., chain.invoke({example_input}, {example_config})"
             )
 
-        parameter_names = _get_parameter_names(self.get_session_history)
-
         if len(expected_keys) == 1:
-            # If arity = 1, then invoke function by positional arguments
-            message_history = self.get_session_history(configurable[expected_keys[0]])
+            if parameter_names:
+                # If arity = 1, then invoke function by positional arguments
+                message_history = self.get_session_history(
+                    configurable[expected_keys[0]]
+                )
+            else:
+                if not config:
+                    config["configurable"] = {}
+                message_history = self.get_session_history()
         else:
             # otherwise verify that names of keys patch and invoke by named arguments
             if set(expected_keys) != set(parameter_names):
diff --git a/libs/core/tests/unit_tests/runnables/test_history.py b/libs/core/tests/unit_tests/runnables/test_history.py
index b80390533d9..ccec320c8ed 100644
--- a/libs/core/tests/unit_tests/runnables/test_history.py
+++ b/libs/core/tests/unit_tests/runnables/test_history.py
@@ -694,3 +694,24 @@ async def test_using_custom_config_specs_async() -> None:
             ]
         ),
     }
+
+
+def test_ignore_session_id() -> None:
+    """Test without config."""
+
+    def _fake_llm(input: List[BaseMessage]) -> List[BaseMessage]:
+        return [
+            AIMessage(
+                content="you said: "
+                + "\n".join(
+                    str(m.content) for m in input if isinstance(m, HumanMessage)
+                )
+            )
+        ]
+
+    runnable = RunnableLambda(_fake_llm)
+    history = InMemoryChatMessageHistory()
+    with_message_history = RunnableWithMessageHistory(runnable, lambda: history)  # type: ignore
+    _ = with_message_history.invoke("hello")
+    _ = with_message_history.invoke("hello again")
+    assert len(history.messages) == 4