diff --git a/unit-files/backup@.service b/unit-files/backup@.service
index 7eb68b5f600a5d28b8d870572632a6d90f1a16f0..3c8951e2ac6e69cccb78e5e7328ab74276d029ab 100644
--- a/unit-files/backup@.service
+++ b/unit-files/backup@.service
@@ -29,7 +29,7 @@ ExecStartPre=/bin/bash -euxc ' \
 ExecStart=/bin/bash -euxc ' \
   /bin/docker run \
     --rm \
-    --name duplicity \
+    --name backup-%i \
     -h backup.container \
     -v /root:/root \
     -v /data/domains/%i:/backup pierreozoux/duplicity \