diff --git a/stdlib/functools.pyi b/stdlib/functools.pyi
index 8adc3d82292e..828a9d241ab0 100644
--- a/stdlib/functools.pyi
+++ b/stdlib/functools.pyi
@@ -3,7 +3,7 @@ import types
 from _typeshed import SupportsAllComparisons, SupportsItems
 from collections.abc import Callable, Hashable, Iterable, Sequence, Sized
 from typing import Any, Generic, NamedTuple, TypeVar, overload
-from typing_extensions import Literal, ParamSpec, Self, TypeAlias, TypedDict, final
+from typing_extensions import Concatenate, Literal, ParamSpec, Self, TypeAlias, TypedDict, final
 
 if sys.version_info >= (3, 9):
     from types import GenericAlias
@@ -30,6 +30,8 @@ if sys.version_info >= (3, 9):
 
 _T = TypeVar("_T")
 _S = TypeVar("_S")
+_P = ParamSpec("_P")
+
 _PWrapped = ParamSpec("_PWrapped")
 _RWrapped = TypeVar("_RWrapped")
 _PWrapper = ParamSpec("_PWrapper")
@@ -52,25 +54,35 @@ if sys.version_info >= (3, 9):
         typed: bool
 
 @final
-class _lru_cache_wrapper(Generic[_T]):
-    __wrapped__: Callable[..., _T]
-    def __call__(self, *args: Hashable, **kwargs: Hashable) -> _T: ...
+class _lru_cache_wrapper(Generic[_P, _T]):
+    __wrapped__: Callable[_P, _T]
+    def __call__(self, *args: _P.args, **kwargs: _P.kwargs) -> _T: ...
     def cache_info(self) -> _CacheInfo: ...
     def cache_clear(self) -> None: ...
     if sys.version_info >= (3, 9):
         def cache_parameters(self) -> _CacheParameters: ...
 
-    def __copy__(self) -> _lru_cache_wrapper[_T]: ...
-    def __deepcopy__(self, __memo: Any) -> _lru_cache_wrapper[_T]: ...
+    def __copy__(self) -> _lru_cache_wrapper[_P, _T]: ...
+    def __deepcopy__(self, __memo: Any) -> _lru_cache_wrapper[_P, _T]: ...
+    if sys.version_info >= (3, 8):
+        @overload
+        def __get__(self, __instance: None, __owner: type[_S] | None = ...) -> _lru_cache_wrapper[_P, _T]: ...
+        @overload
+        def __get__(self, __instance: _S, __owner: type[_S] | None = ...) -> Callable[Concatenate[_S, _P], _T]: ...
+    else:
+        @overload
+        def __get__(self, __instance: None, __owner: type[_S] | None) -> _lru_cache_wrapper[_P, _T]: ...
+        @overload
+        def __get__(self, __instance: _S, __owner: type[_S] | None) -> Callable[Concatenate[_S, _P], _T]: ...
 
 if sys.version_info >= (3, 8):
     @overload
-    def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _T]], _lru_cache_wrapper[_T]]: ...
+    def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[_P, _T]], _lru_cache_wrapper[_P, _T]]: ...
     @overload
-    def lru_cache(maxsize: Callable[..., _T], typed: bool = False) -> _lru_cache_wrapper[_T]: ...
+    def lru_cache(maxsize: Callable[_P, _T], typed: bool = False) -> _lru_cache_wrapper[_P, _T]: ...
 
 else:
-    def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _T]], _lru_cache_wrapper[_T]]: ...
+    def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[_P, _T]], _lru_cache_wrapper[_P, _T]]: ...
 
 if sys.version_info >= (3, 12):
     WRAPPER_ASSIGNMENTS: tuple[
@@ -208,7 +220,7 @@ if sys.version_info >= (3, 8):
             def __class_getitem__(cls, item: Any) -> GenericAlias: ...
 
 if sys.version_info >= (3, 9):
-    def cache(__user_function: Callable[..., _T]) -> _lru_cache_wrapper[_T]: ...
+    def cache(__user_function: Callable[_P, _T]) -> _lru_cache_wrapper[_P, _T]: ...
 
 def _make_key(
     args: tuple[Hashable, ...],