diff --git a/scripts/install-multi-user.sh b/scripts/install-multi-user.sh
index 656769d84..a08f62333 100644
--- a/scripts/install-multi-user.sh
+++ b/scripts/install-multi-user.sh
@@ -452,6 +452,14 @@ EOF
         #       a row for different files.
         if [ -e "$profile_target$PROFILE_BACKUP_SUFFIX" ]; then
             # this backup process first released in Nix 2.1
+
+            if diff -q "$profile_target$PROFILE_BACKUP_SUFFIX" "$profile_target" > /dev/null; then
+                # a backup file for the rc-file exist, but they are identical,
+                # so we can safely ignore it and overwrite it with the same
+                # content later
+                continue
+            fi
+
             failure <<EOF
 I back up shell profile/rc scripts before I add Nix to them.
 I need to back up $profile_target to $profile_target$PROFILE_BACKUP_SUFFIX,