diff --git a/stdlib/shutil.pyi b/stdlib/shutil.pyi
index 3a7a35f70..572e50a06 100644
--- a/stdlib/shutil.pyi
+++ b/stdlib/shutil.pyi
@@ -3,7 +3,8 @@ import sys
 from _typeshed import BytesPath, StrOrBytesPath, StrPath, SupportsRead, SupportsWrite
 from typing import Any, AnyStr, Callable, Iterable, NamedTuple, Sequence, TypeVar, Union, overload
 
-_PathT = TypeVar("_PathT", str, bytes, os.PathLike[str], os.PathLike[bytes])
+_StrOrBytesPathT = TypeVar("_StrOrBytesPathT", bound=StrOrBytesPath)
+_StrPathT = TypeVar("_StrPathT", bound=StrPath)
 # Return value of some functions that may either return a path-like object that was passed in or
 # a string
 _PathReturn = Any
@@ -16,7 +17,7 @@ class ReadError(OSError): ...
 class RegistryError(Exception): ...
 
 def copyfileobj(fsrc: SupportsRead[AnyStr], fdst: SupportsWrite[AnyStr], length: int = ...) -> None: ...
-def copyfile(src: StrOrBytesPath, dst: _PathT, *, follow_symlinks: bool = ...) -> _PathT: ...
+def copyfile(src: StrOrBytesPath, dst: _StrOrBytesPathT, *, follow_symlinks: bool = ...) -> _StrOrBytesPathT: ...
 def copymode(src: StrOrBytesPath, dst: StrOrBytesPath, *, follow_symlinks: bool = ...) -> None: ...
 def copystat(src: StrOrBytesPath, dst: StrOrBytesPath, *, follow_symlinks: bool = ...) -> None: ...
 @overload
@@ -78,12 +79,12 @@ def chown(path: StrOrBytesPath, user: str | int, group: str | int) -> None: ...
 
 if sys.version_info >= (3, 8):
     @overload
-    def which(cmd: StrPath, mode: int = ..., path: StrPath | None = ...) -> str | None: ...
+    def which(cmd: _StrPathT, mode: int = ..., path: StrPath | None = ...) -> str | _StrPathT | None: ...
     @overload
     def which(cmd: bytes, mode: int = ..., path: StrPath | None = ...) -> bytes | None: ...
 
 else:
-    def which(cmd: StrPath, mode: int = ..., path: StrPath | None = ...) -> str | None: ...
+    def which(cmd: _StrPathT, mode: int = ..., path: StrPath | None = ...) -> str | _StrPathT | None: ...
 
 def make_archive(
     base_name: str,