diff --git a/cibuildwheel/__main__.py b/cibuildwheel/__main__.py
index bc21fbe64..95bc96b93 100644
--- a/cibuildwheel/__main__.py
+++ b/cibuildwheel/__main__.py
@@ -161,8 +161,9 @@ def main() -> None:
     # This needs to be passed on to the docker container in linux.py
     os.environ['CIBUILDWHEEL'] = '1'
 
-    if not os.path.exists(os.path.join(package_dir, 'setup.py')):
-        print('cibuildwheel: Could not find setup.py at root of package', file=sys.stderr)
+    if not any(os.path.exists(os.path.join(package_dir, name))
+               for name in ["setup.py", "setup.cfg", "pyproject.toml"]):
+        print('cibuildwheel: Could not find setup.py, setup.cfg or pyproject.toml at root of package', file=sys.stderr)
         exit(2)
 
     if args.print_build_identifiers: