diff --git a/pydantic/generics.py b/pydantic/generics.py
index 2467bb77111..1ec9a7da081 100644
--- a/pydantic/generics.py
+++ b/pydantic/generics.py
@@ -31,13 +31,13 @@
 
 Parametrization = Mapping[TypeVarType, Type[Any]]
 
-_generic_types_cache: LimitedDict[Tuple[Type[Any], Union[Any, Tuple[Any, ...]]], Type[BaseModel]] = LimitedDict()
+_generic_types_cache: 'LimitedDict[Tuple[Type[Any], Union[Any, Tuple[Any, ...]]], Type[BaseModel]]' = LimitedDict()
 # _assigned_parameters is a Mapping from parametrized version of generic models to assigned types of parametrizations
 # as captured during construction of the class (not instances).
 # E.g., for generic model `Model[A, B]`, when parametrized model `Model[int, str]` is created,
 # `Model[int, str]`: {A: int, B: str}` will be stored in `_assigned_parameters`.
 # (This information is only otherwise available after creation from the class name string).
-_assigned_parameters: LimitedDict[Type[Any], Parametrization] = LimitedDict()
+_assigned_parameters: 'LimitedDict[Type[Any], Parametrization]' = LimitedDict()
 
 
 class GenericModel(BaseModel):
diff --git a/pydantic/utils.py b/pydantic/utils.py
index f9c4ec16022..71599a540f2 100644
--- a/pydantic/utils.py
+++ b/pydantic/utils.py
@@ -783,7 +783,3 @@ def __setitem__(self, __key: Any, __value: Any) -> None:
                 to_remove = list(self.keys())[:excess]
                 for key in to_remove:
                     del self[key]
-
-        def __class_getitem__(cls, *args: Any) -> Any:
-            # to avoid errors with 3.7
-            pass