diff --git a/libs/standard-tests/langchain_tests/integration_tests/retrievers.py b/libs/standard-tests/langchain_tests/integration_tests/retrievers.py
index 5c8f0f0188a..8898152ac38 100644
--- a/libs/standard-tests/langchain_tests/integration_tests/retrievers.py
+++ b/libs/standard-tests/langchain_tests/integration_tests/retrievers.py
@@ -24,8 +24,14 @@ class RetrieversIntegrationTests(BaseStandardTests):
     @property
     @abstractmethod
     def retriever_query_example(self) -> str:
-        """Returns a str representing the "query" of an example retriever call."""
-        ...
+        """Returns a str representing the ``query`` of an example retriever call."""
+
+    @property
+    def num_results_arg_name(self) -> str:
+        """Returns the name of the parameter for the number of results returned.
+
+        Usually something like ``k`` or ``top_k``."""
+        return "k"
 
     @pytest.fixture
     def retriever(self) -> BaseRetriever:
@@ -33,14 +39,34 @@ class RetrieversIntegrationTests(BaseStandardTests):
         return self.retriever_constructor(**self.retriever_constructor_params)
 
     def test_k_constructor_param(self) -> None:
-        """Test that the retriever constructor accepts a k parameter, representing
+        """Test the number of results constructor parameter.
+
+        Test that the retriever constructor accepts a parameter representing
         the number of documents to return.
 
+        By default, the parameter tested is named ``k``, but it can be overridden by
+        setting the ``num_results_arg_name`` property.
+
+        .. note::
+            If the retriever doesn't support configuring the number of results returned
+            via the constructor, this test can be skipped using a pytest ``xfail`` on
+            the test class:
+
+            .. code-block:: python
+
+                @pytest.mark.xfail(
+                    reason="This retriever doesn't support setting "
+                    "the number of results via the constructor."
+                )
+                def test_k_constructor_param(self) -> None:
+                    raise NotImplementedError
+
         .. dropdown:: Troubleshooting
 
-            If this test fails, either the retriever constructor does not accept a k
-            parameter, or the retriever does not return the correct number of documents
-            (`k`) when it is set.
+            If this test fails, the retriever constructor does not accept a number
+            of results parameter, or the retriever does not return the correct number
+            of documents ( of the one set in ``num_results_arg_name``) when it is
+            set.
 
             For example, a retriever like
 
@@ -52,29 +78,51 @@ class RetrieversIntegrationTests(BaseStandardTests):
 
         """
         params = {
-            k: v for k, v in self.retriever_constructor_params.items() if k != "k"
+            k: v
+            for k, v in self.retriever_constructor_params.items()
+            if k != self.num_results_arg_name
         }
-        params_3 = {**params, "k": 3}
+        params_3 = {**params, self.num_results_arg_name: 3}
         retriever_3 = self.retriever_constructor(**params_3)
         result_3 = retriever_3.invoke(self.retriever_query_example)
         assert len(result_3) == 3
         assert all(isinstance(doc, Document) for doc in result_3)
 
-        params_1 = {**params, "k": 1}
+        params_1 = {**params, self.num_results_arg_name: 1}
         retriever_1 = self.retriever_constructor(**params_1)
         result_1 = retriever_1.invoke(self.retriever_query_example)
         assert len(result_1) == 1
         assert all(isinstance(doc, Document) for doc in result_1)
 
     def test_invoke_with_k_kwarg(self, retriever: BaseRetriever) -> None:
-        """Test that the invoke method accepts a k parameter, representing the number of
-        documents to return.
+        """Test the number of results parameter in ``invoke()``.
+
+        Test that the invoke method accepts a parameter representing
+        the number of documents to return.
+
+        By default, the parameter is named ``, but it can be overridden by
+        setting the ``num_results_arg_name`` property.
+
+        .. note::
+            If the retriever doesn't support configuring the number of results returned
+            via the invoke method, this test can be skipped using a pytest ``xfail`` on
+            the test class:
+
+            .. code-block:: python
+
+                @pytest.mark.xfail(
+                    reason="This retriever doesn't support setting "
+                    "the number of results in the invoke method."
+                )
+                def test_invoke_with_k_kwarg(self) -> None:
+                    raise NotImplementedError
 
         .. dropdown:: Troubleshooting
 
-            If this test fails, the retriever's invoke method does not accept a k
-            parameter, or the retriever does not return the correct number of documents
-            (`k`) when it is set.
+            If this test fails, the retriever's invoke method does not accept a number
+            of results parameter, or the retriever does not return the correct number
+            of documents (``k`` of the one set in ``num_results_arg_name``) when it is
+            set.
 
             For example, a retriever like
 
@@ -85,11 +133,15 @@ class RetrieversIntegrationTests(BaseStandardTests):
             should return 3 documents when invoked with a query.
 
         """
-        result_1 = retriever.invoke(self.retriever_query_example, k=1)
+        result_1 = retriever.invoke(
+            self.retriever_query_example, None, **{self.num_results_arg_name: 1}
+        )
         assert len(result_1) == 1
         assert all(isinstance(doc, Document) for doc in result_1)
 
-        result_3 = retriever.invoke(self.retriever_query_example, k=3)
+        result_3 = retriever.invoke(
+            self.retriever_query_example, None, **{self.num_results_arg_name: 3}
+        )
         assert len(result_3) == 3
         assert all(isinstance(doc, Document) for doc in result_3)
 
@@ -100,8 +152,8 @@ class RetrieversIntegrationTests(BaseStandardTests):
         .. dropdown:: Troubleshooting
 
             If this test fails, the retriever's invoke method does not return a list of
-            `langchain_core.document.Document` objects. Please confirm that your
-            `_get_relevant_documents` method returns a list of `Document` objects.
+            ``langchain_core.document.Document`` objects. Please confirm that your
+            ``_get_relevant_documents`` method returns a list of ``Document`` objects.
         """
         result = retriever.invoke(self.retriever_query_example)