diff --git a/cibuildwheel/oci_container.py b/cibuildwheel/oci_container.py
index 59932e2e..ac71e984 100644
--- a/cibuildwheel/oci_container.py
+++ b/cibuildwheel/oci_container.py
@@ -192,7 +192,7 @@ class OCIContainer:
         if from_path.is_dir():
             self.call(["mkdir", "-p", to_path])
             subprocess.run(
-                f"tar cf - . | {self.engine} exec -i {self.name} tar --no-same-owner -xC {shell_quote(to_path)} -f -",
+                f"tar cf - . | {self.engine.name} exec -i {self.name} tar --no-same-owner -xC {shell_quote(to_path)} -f -",
                 shell=True,
                 check=True,
                 cwd=from_path,