diff --git a/stdlib/http/cookies.pyi b/stdlib/http/cookies.pyi
index 0373eae8ab29..345fe46018d5 100644
--- a/stdlib/http/cookies.pyi
+++ b/stdlib/http/cookies.pyi
@@ -1,12 +1,10 @@
-from _typeshed import MaybeNone
-from collections.abc import Iterable, Mapping
+from _typeshed import MaybeNone, SupportsItems, SupportsKeysAndGetItem
+from collections.abc import Container, Iterable
 from types import GenericAlias
 from typing import Any, Generic, TypeVar, overload
-from typing_extensions import TypeAlias
 
 __all__ = ["CookieError", "BaseCookie", "SimpleCookie"]
 
-_DataType: TypeAlias = str | Mapping[str, str | Morsel[Any]]
 _T = TypeVar("_T")
 
 @overload
@@ -31,27 +29,24 @@ class Morsel(dict[str, Any], Generic[_T]):
     def set(self, key: str, val: str, coded_val: _T) -> None: ...
     def setdefault(self, key: str, val: str | None = None) -> str: ...
     # The dict update can also get a keywords argument so this is incompatible
-    @overload  # type: ignore[override]
-    def update(self, values: Mapping[str, str]) -> None: ...
-    @overload
-    def update(self, values: Iterable[tuple[str, str]]) -> None: ...
+    def update(self, values: Iterable[tuple[str, str]] | SupportsKeysAndGetItem[str, str]) -> None: ...  # type: ignore[override]
     def isReservedKey(self, K: str) -> bool: ...
-    def output(self, attrs: list[str] | None = None, header: str = "Set-Cookie:") -> str: ...
+    def output(self, attrs: Container[str] | None = None, header: str = "Set-Cookie:") -> str: ...
     __str__ = output
-    def js_output(self, attrs: list[str] | None = None) -> str: ...
-    def OutputString(self, attrs: list[str] | None = None) -> str: ...
+    def js_output(self, attrs: Container[str] | None = None) -> str: ...
+    def OutputString(self, attrs: Container[str] | None = None) -> str: ...
     def __eq__(self, morsel: object) -> bool: ...
     def __setitem__(self, K: str, V: Any) -> None: ...
     def __class_getitem__(cls, item: Any, /) -> GenericAlias: ...
 
 class BaseCookie(dict[str, Morsel[_T]], Generic[_T]):
-    def __init__(self, input: _DataType | None = None) -> None: ...
+    def __init__(self, input: str | SupportsItems[str, str | Morsel[Any]] | None = None) -> None: ...
     def value_decode(self, val: str) -> tuple[_T, str]: ...
     def value_encode(self, val: _T) -> tuple[_T, str]: ...
-    def output(self, attrs: list[str] | None = None, header: str = "Set-Cookie:", sep: str = "\r\n") -> str: ...
+    def output(self, attrs: Container[str] | None = None, header: str = "Set-Cookie:", sep: str = "\r\n") -> str: ...
     __str__ = output
-    def js_output(self, attrs: list[str] | None = None) -> str: ...
-    def load(self, rawdata: _DataType) -> None: ...
+    def js_output(self, attrs: Container[str] | None = None) -> str: ...
+    def load(self, rawdata: str | SupportsItems[str, str | Morsel[Any]]) -> None: ...
     def __setitem__(self, key: str, value: str | Morsel[_T]) -> None: ...
 
 class SimpleCookie(BaseCookie[str]): ...
diff --git a/stubs/yt-dlp/yt_dlp/cookies.pyi b/stubs/yt-dlp/yt_dlp/cookies.pyi
index ba407e4d2fb0..7acdeca4bba3 100644
--- a/stubs/yt-dlp/yt_dlp/cookies.pyi
+++ b/stubs/yt-dlp/yt_dlp/cookies.pyi
@@ -1,8 +1,9 @@
-from collections.abc import Collection, Iterator, KeysView
+from _typeshed import SupportsItems
+from collections.abc import Iterator, KeysView
 from enum import Enum
 from http.cookiejar import Cookie, CookiePolicy, MozillaCookieJar
-from http.cookies import SimpleCookie
-from typing import Final, TextIO, TypeVar
+from http.cookies import Morsel, SimpleCookie
+from typing import Any, Final, TextIO, TypeVar
 
 from . import _LoggerProtocol
 from .minicurses import MultilinePrinter
@@ -101,4 +102,4 @@ class DataParser:
 def pbkdf2_sha1(password: bytes, salt: bytes, iterations: int, key_length: int) -> bytes: ...
 
 class LenientSimpleCookie(SimpleCookie):
-    def load(self, data: str | Collection[str]) -> None: ...
+    def load(self, data: str | SupportsItems[str, str | Morsel[Any]]) -> None: ...