diff --git a/cibuildwheel/oci_container.py b/cibuildwheel/oci_container.py
index 207177df..92548849 100644
--- a/cibuildwheel/oci_container.py
+++ b/cibuildwheel/oci_container.py
@@ -21,7 +21,7 @@ from typing import IO, Literal, Self, assert_never
 from .ci import CIProvider, detect_ci_provider
 from .errors import OCIEngineTooOldError
 from .logger import log
-from .typing import PathOrStr, PopenBytes
+from .typing import PathOrStr
 from .util.cmd import call
 from .util.helpers import FlexibleVersion, parse_key_value_string, strtobool
 
@@ -164,7 +164,7 @@ class OCIContainer:
 
     UTILITY_PYTHON = "/opt/python/cp39-cp39/bin/python"
 
-    process: PopenBytes
+    process: subprocess.Popen[bytes]
     bash_stdin: IO[bytes]
     bash_stdout: IO[bytes]
 
diff --git a/cibuildwheel/typing.py b/cibuildwheel/typing.py
index c9b76fde..026deeaa 100644
--- a/cibuildwheel/typing.py
+++ b/cibuildwheel/typing.py
@@ -1,24 +1,17 @@
 from __future__ import annotations
 
 import os
-import subprocess
 import typing
-from typing import Final, Literal, Protocol, Union
+from typing import Final, Literal, Protocol
 
 __all__ = (
     "PLATFORMS",
     "PathOrStr",
     "PlatformName",
-    "PopenBytes",
 )
 
 
-if typing.TYPE_CHECKING:
-    PopenBytes = subprocess.Popen[bytes]
-    PathOrStr = str | os.PathLike[str]
-else:
-    PopenBytes = subprocess.Popen
-    PathOrStr = Union[str, "os.PathLike[str]"]
+PathOrStr = str | os.PathLike[str]
 
 
 PlatformName = Literal["linux", "macos", "windows", "pyodide"]