diff --git a/stdlib/asyncio/subprocess.pyi b/stdlib/asyncio/subprocess.pyi
index 50d75391f36d..6235754cf120 100644
--- a/stdlib/asyncio/subprocess.pyi
+++ b/stdlib/asyncio/subprocess.pyi
@@ -3,14 +3,14 @@ import sys
 from _typeshed import StrOrBytesPath
 from asyncio import events, protocols, streams, transports
 from collections.abc import Callable, Collection
-from typing import IO, Any, Literal
+from typing import IO, Any, Literal, overload
 
 # Keep asyncio.__all__ updated with any changes to __all__ here
 __all__ = ("create_subprocess_exec", "create_subprocess_shell")
 
-PIPE: int
-STDOUT: int
-DEVNULL: int
+PIPE = subprocess.PIPE
+STDOUT = subprocess.STDOUT
+DEVNULL = subprocess.DEVNULL
 
 class SubprocessStreamProtocol(streams.FlowControlMixin, protocols.SubprocessProtocol):
     stdin: streams.StreamWriter | None
@@ -19,7 +19,7 @@ class SubprocessStreamProtocol(streams.FlowControlMixin, protocols.SubprocessPro
     def __init__(self, limit: int, loop: events.AbstractEventLoop) -> None: ...
     def pipe_data_received(self, fd: int, data: bytes | str) -> None: ...
 
-class Process:
+class Process[CommOut: (PIPE, int, IO[Any], None), CommErr: (PIPE, int, IO[Any], None)]:
     stdin: streams.StreamWriter | None
     stdout: streams.StreamReader | None
     stderr: streams.StreamReader | None
@@ -33,14 +33,31 @@ class Process:
     def send_signal(self, signal: int) -> None: ...
     def terminate(self) -> None: ...
     def kill(self) -> None: ...
-    async def communicate(self, input: bytes | bytearray | memoryview | None = None) -> tuple[bytes, bytes]: ...
+    @overload
+    async def communicate(
+        self: Process[PIPE, PIPE], input: bytes | bytearray | memoryview | None = None
+    ) -> tuple[bytes, bytes]: ...
+    @overload
+    async def communicate(
+        self: Process[PIPE, int | IO[Any] | None], input: bytes | bytearray | memoryview | None = None
+    ) -> tuple[bytes, None]: ...
+    @overload
+    async def communicate(
+        self: Process[int | IO[Any] | None, PIPE], input: bytes | bytearray | memoryview | None = None
+    ) -> tuple[None, bytes]: ...
+    @overload
+    async def communicate(
+        self: Process[int | IO[Any] | None, int | IO[Any] | None], input: bytes | bytearray | memoryview | None = None
+    ) -> tuple[None, None]: ...
 
 if sys.version_info >= (3, 11):
-    async def create_subprocess_shell(
+    async def create_subprocess_shell[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         cmd: str | bytes,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         limit: int = 65536,
         *,
         # These parameters are forced to these values by BaseEventLoop.subprocess_shell
@@ -67,13 +84,15 @@ if sys.version_info >= (3, 11):
         umask: int = -1,
         process_group: int | None = None,
         pipesize: int = -1,
-    ) -> Process: ...
-    async def create_subprocess_exec(
+    ) -> Process[Out, Err]: ...
+    async def create_subprocess_exec[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         program: StrOrBytesPath,
         *args: StrOrBytesPath,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         limit: int = 65536,
         # These parameters are forced to these values by BaseEventLoop.subprocess_exec
         universal_newlines: Literal[False] = False,
@@ -99,14 +118,16 @@ if sys.version_info >= (3, 11):
         umask: int = -1,
         process_group: int | None = None,
         pipesize: int = -1,
-    ) -> Process: ...
+    ) -> Process[Out, Err]: ...
 
 elif sys.version_info >= (3, 10):
-    async def create_subprocess_shell(
+    async def create_subprocess_shell[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         cmd: str | bytes,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         limit: int = 65536,
         *,
         # These parameters are forced to these values by BaseEventLoop.subprocess_shell
@@ -132,13 +153,15 @@ elif sys.version_info >= (3, 10):
         user: None | str | int = None,
         umask: int = -1,
         pipesize: int = -1,
-    ) -> Process: ...
-    async def create_subprocess_exec(
+    ) -> Process[Out, Err]: ...
+    async def create_subprocess_exec[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         program: StrOrBytesPath,
         *args: StrOrBytesPath,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         limit: int = 65536,
         # These parameters are forced to these values by BaseEventLoop.subprocess_exec
         universal_newlines: Literal[False] = False,
@@ -163,14 +186,16 @@ elif sys.version_info >= (3, 10):
         user: None | str | int = None,
         umask: int = -1,
         pipesize: int = -1,
-    ) -> Process: ...
+    ) -> Process[Out, Err]: ...
 
 else:  # >= 3.9
-    async def create_subprocess_shell(
+    async def create_subprocess_shell[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         cmd: str | bytes,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         loop: events.AbstractEventLoop | None = None,
         limit: int = 65536,
         *,
@@ -196,13 +221,15 @@ else:  # >= 3.9
         extra_groups: None | Collection[str | int] = None,
         user: None | str | int = None,
         umask: int = -1,
-    ) -> Process: ...
-    async def create_subprocess_exec(
+    ) -> Process[Out, Err]: ...
+    async def create_subprocess_exec[
+        Out: (PIPE, int, IO[Any], None), Err: (PIPE, int, IO[Any], None)
+    ](
         program: StrOrBytesPath,
         *args: StrOrBytesPath,
         stdin: int | IO[Any] | None = None,
-        stdout: int | IO[Any] | None = None,
-        stderr: int | IO[Any] | None = None,
+        stdout: Out = None,
+        stderr: Err = None,
         loop: events.AbstractEventLoop | None = None,
         limit: int = 65536,
         # These parameters are forced to these values by BaseEventLoop.subprocess_exec
@@ -227,4 +254,4 @@ else:  # >= 3.9
         extra_groups: None | Collection[str | int] = None,
         user: None | str | int = None,
         umask: int = -1,
-    ) -> Process: ...
+    ) -> Process[Out, Err]: ...
diff --git a/stdlib/subprocess.pyi b/stdlib/subprocess.pyi
index fef35b56945a..bae04ba60ae2 100644
--- a/stdlib/subprocess.pyi
+++ b/stdlib/subprocess.pyi
@@ -1810,9 +1810,9 @@ else:
         text: bool | None = None,
     ) -> Any: ...  # morally: -> str | bytes
 
-PIPE: Final[int]
-STDOUT: Final[int]
-DEVNULL: Final[int]
+PIPE: Final[Literal[-1]]
+STDOUT: Final[Literal[-2]]
+DEVNULL: Final[Literal[-3]]
 
 class SubprocessError(Exception): ...