diff --git a/python_modules/dagster/dagster/_core/definitions/graph_definition.py b/python_modules/dagster/dagster/_core/definitions/graph_definition.py
index e9b85db467aeb..74e7d468a3626 100644
--- a/python_modules/dagster/dagster/_core/definitions/graph_definition.py
+++ b/python_modules/dagster/dagster/_core/definitions/graph_definition.py
@@ -466,8 +466,6 @@ def get_output_mapping(self, output_name: str) -> OutputMapping:
                 return mapping
         check.failed(f"Could not find output mapping {output_name}")
 
-    T_Handle = TypeVar("T_Handle", bound=Optional[NodeHandle])
-
     def resolve_output_to_origin(
         self, output_name: str, handle: Optional[NodeHandle]
     ) -> Tuple[OutputDefinition, Optional[NodeHandle]]:
diff --git a/python_modules/dagster/dagster/_core/definitions/op_definition.py b/python_modules/dagster/dagster/_core/definitions/op_definition.py
index d355aeb923313..d6e3258387880 100644
--- a/python_modules/dagster/dagster/_core/definitions/op_definition.py
+++ b/python_modules/dagster/dagster/_core/definitions/op_definition.py
@@ -9,7 +9,6 @@
     Optional,
     Sequence,
     Tuple,
-    TypeVar,
     Union,
     cast,
 )
@@ -323,11 +322,9 @@ def iterate_node_defs(self) -> Iterator[NodeDefinition]:
     def iterate_op_defs(self) -> Iterator["OpDefinition"]:
         yield self
 
-    T_Handle = TypeVar("T_Handle", bound=Optional[NodeHandle])
-
     def resolve_output_to_origin(
-        self, output_name: str, handle: T_Handle
-    ) -> Tuple[OutputDefinition, T_Handle]:
+        self, output_name: str, handle: Optional[NodeHandle]
+    ) -> Tuple[OutputDefinition, Optional[NodeHandle]]:
         return self.output_def_named(output_name), handle
 
     def resolve_output_to_origin_op_def(self, output_name: str) -> "OpDefinition":