diff --git a/podman_compose.py b/podman_compose.py
index bba3f4c..6f6e8f2 100755
--- a/podman_compose.py
+++ b/podman_compose.py
@@ -190,9 +190,9 @@ def fix_mount_dict(compose, mount_dict, proj_name, srv_name):
         elif not name:
             external = vol.get("external", None)
             ext_name = (
-                external.get("name", None) if isinstance(external, dict) else None
+                external.get("name", f"{source}") if isinstance(external, dict) else None
             )
-            vol["name"] = ext_name if ext_name else f"{source}"
+            vol["name"] = ext_name if ext_name else f"{proj_name}_{source}"
     return mount_dict