diff --git a/cibuildwheel/linux.py b/cibuildwheel/linux.py
index 82bfe07f..9260c4e7 100644
--- a/cibuildwheel/linux.py
+++ b/cibuildwheel/linux.py
@@ -54,7 +54,7 @@ def build(project_dir, package_name, output_dir, test_command, test_requires, be
                 "$PYBIN/pip" wheel . -w /tmp/linux_wheels
             done
 
-            for whl in /tmp/linux_wheels/*.whl; do
+            for whl in /tmp/linux_wheels/{package_name}-*.whl; do
                 auditwheel repair "$whl" -w /output
             done
 
diff --git a/cibuildwheel/macos.py b/cibuildwheel/macos.py
index 75d0d4ae..b3e67ef0 100644
--- a/cibuildwheel/macos.py
+++ b/cibuildwheel/macos.py
@@ -61,7 +61,7 @@ def build(project_dir, package_name, output_dir, test_command, test_requires, be
         # build the wheel to temp dir
         temp_wheel_dir = '/tmp/tmpwheel%s' % config.version
         shell([pip, 'wheel', project_dir, '-w', temp_wheel_dir], env=env)
-        temp_wheel = glob(temp_wheel_dir+'/*.whl')[0]
+        temp_wheel = glob('%s/%s-*.whl' % (temp_wheel_dir, package_name))[0]
 
         # list the dependencies
         shell(['delocate-listdeps', temp_wheel], env=env)