diff --git a/stdlib/http/client.pyi b/stdlib/http/client.pyi
index 2ce52eac9ad9..ad794ed9b073 100644
--- a/stdlib/http/client.pyi
+++ b/stdlib/http/client.pyi
@@ -2,10 +2,10 @@ import email.message
 import io
 import ssl
 import types
-from _typeshed import Self, WriteableBuffer
+from _typeshed import ReadableBuffer, Self, SupportsRead, WriteableBuffer
 from collections.abc import Callable, Iterable, Iterator, Mapping
 from socket import socket
-from typing import IO, Any, BinaryIO, TypeVar, overload
+from typing import Any, BinaryIO, TypeVar, overload
 from typing_extensions import TypeAlias
 
 __all__ = [
@@ -30,7 +30,7 @@ __all__ = [
     "HTTPSConnection",
 ]
 
-_DataType: TypeAlias = bytes | IO[Any] | Iterable[bytes] | str
+_DataType: TypeAlias = SupportsRead[bytes] | Iterable[ReadableBuffer] | ReadableBuffer
 _T = TypeVar("_T")
 
 HTTP_PORT: int
@@ -164,7 +164,7 @@ class HTTPConnection:
     def putrequest(self, method: str, url: str, skip_host: bool = ..., skip_accept_encoding: bool = ...) -> None: ...
     def putheader(self, header: str, *argument: str) -> None: ...
     def endheaders(self, message_body: _DataType | None = ..., *, encode_chunked: bool = ...) -> None: ...
-    def send(self, data: _DataType) -> None: ...
+    def send(self, data: _DataType | str) -> None: ...
 
 class HTTPSConnection(HTTPConnection):
     # Can be `None` if `.connect()` was not called:
diff --git a/stdlib/http/server.pyi b/stdlib/http/server.pyi
index 40c94bf62f30..7e254697fdf9 100644
--- a/stdlib/http/server.pyi
+++ b/stdlib/http/server.pyi
@@ -1,6 +1,7 @@
 import email.message
 import io
 import socketserver
+import sys
 from _typeshed import StrPath, SupportsRead, SupportsWrite
 from collections.abc import Mapping, Sequence
 from typing import Any, AnyStr, BinaryIO, ClassVar
@@ -31,7 +32,6 @@ class BaseHTTPRequestHandler(socketserver.StreamRequestHandler):
     default_request_version: str  # undocumented
     weekdayname: ClassVar[Sequence[str]]  # undocumented
     monthname: ClassVar[Sequence[str | None]]  # undocumented
-    def __init__(self, request: bytes, client_address: tuple[str, int], server: socketserver.BaseServer) -> None: ...
     def handle_one_request(self) -> None: ...
     def handle_expect_100(self) -> bool: ...
     def send_error(self, code: int, message: str | None = ..., explain: str | None = ...) -> None: ...
@@ -51,9 +51,26 @@ class BaseHTTPRequestHandler(socketserver.StreamRequestHandler):
 
 class SimpleHTTPRequestHandler(BaseHTTPRequestHandler):
     extensions_map: dict[str, str]
-    def __init__(
-        self, request: bytes, client_address: tuple[str, int], server: socketserver.BaseServer, directory: str | None = ...
-    ) -> None: ...
+    if sys.version_info >= (3, 12):
+        def __init__(
+            self,
+            request: socketserver._RequestType,
+            client_address: socketserver._AddressType,
+            server: socketserver.BaseServer,
+            *,
+            directory: str | None = ...,
+        ) -> None: ...
+    else:
+        def __init__(
+            self,
+            request: socketserver._RequestType,
+            client_address: socketserver._AddressType,
+            server: socketserver.BaseServer,
+            *,
+            directory: str | None = ...,
+            index_pages: Sequence[str] | None = ...,
+        ) -> None: ...
+
     def do_GET(self) -> None: ...
     def do_HEAD(self) -> None: ...
     def send_head(self) -> io.BytesIO | BinaryIO | None: ...  # undocumented
diff --git a/tests/stubtest_allowlists/py3_common.txt b/tests/stubtest_allowlists/py3_common.txt
index 90b09baa1a0c..29241c85f051 100644
--- a/tests/stubtest_allowlists/py3_common.txt
+++ b/tests/stubtest_allowlists/py3_common.txt
@@ -422,7 +422,6 @@ ssl.RAND_egd
 collections.abc.*  # Types are re-exported from _collections_abc, so errors should be fixed there
 distutils.command.check.SilentReporter  # only defined if docutils in installed
 hmac.HMAC.blocksize  # use block_size instead
-http.server.SimpleHTTPRequestHandler.__init__  # *args is expanded
 pickle.Pickler.memo  # undocumented implementation detail, has different type in C/Python implementations
 pickle.Unpickler.memo  # undocumented implementation detail, has different type in C/Python implementations
 re.Pattern.scanner  # Undocumented and not useful. #6405