diff --git a/stdlib/@tests/test_cases/check_functools.py b/stdlib/@tests/test_cases/check_functools.py
index e3b90ab5743f..d3aaf5ca1c4d 100644
--- a/stdlib/@tests/test_cases/check_functools.py
+++ b/stdlib/@tests/test_cases/check_functools.py
@@ -122,6 +122,17 @@ def check_lru_cache_with_maxsize(x: int) -> int:
 assert_type(check_lru_cache_with_maxsize.cache_info().misses, int)
 
 
+def check_cache_keys() -> None:
+    def size(*, self: list[int]) -> int:
+        return len(self)
+
+    disabled = lru_cache(maxsize=0)(size)
+    assert_type(disabled(self=[]), int)
+    assert_type(lru_cache(False, typed=True)(size)(self=[]), int)
+    cache(size)(self=[])  # type: ignore[arg-type]
+    lru_cache(1)(size)(self=[])  # type: ignore[arg-type]
+
+
 #
 # Tests for @cached_property
 #
diff --git a/stdlib/functools.pyi b/stdlib/functools.pyi
index 6c8ab541fe48..42041befd999 100644
--- a/stdlib/functools.pyi
+++ b/stdlib/functools.pyi
@@ -46,6 +46,7 @@ _PWrapper = ParamSpec("_PWrapper")
 _RWrapper = TypeVar("_RWrapper")
 _WrapperSelfT = TypeVar("_WrapperSelfT")
 _PBound = ParamSpec("_PBound")
+_CacheArgT_contra = TypeVar("_CacheArgT_contra", contravariant=True, default=Hashable)
 
 if sys.version_info >= (3, 14):
     @overload
@@ -69,19 +70,23 @@ class _CacheParameters(TypedDict):
     typed: bool
 
 @final
-class _lru_cache_wrapper(Generic[_T_co]):
+class _lru_cache_wrapper(Generic[_T_co, _CacheArgT_contra]):
     __wrapped__: Callable[..., _T_co]
-    def __call__(self, *args: Hashable, **kwargs: Hashable) -> _T_co: ...
+    def __call__(self, /, *args: _CacheArgT_contra, **kwargs: _CacheArgT_contra) -> _T_co: ...
     def cache_info(self) -> _CacheInfo: ...
     def cache_clear(self) -> None: ...
     def cache_parameters(self) -> _CacheParameters: ...
-    def __copy__(self) -> _lru_cache_wrapper[_T_co]: ...
-    def __deepcopy__(self, memo: Any, /) -> _lru_cache_wrapper[_T_co]: ...
+    def __copy__(self) -> Self: ...
+    def __deepcopy__(self, memo: Any, /) -> Self: ...
 
     # as with ``Callable``, we'll assume that these attributes exist
     __name__: str
     __qualname__: str
 
+@overload
+def lru_cache(
+    maxsize: Literal[0, False], typed: bool = False
+) -> Callable[[Callable[..., _T]], _lru_cache_wrapper[_T, object]]: ...
 @overload
 def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _T]], _lru_cache_wrapper[_T]]: ...
 @overload