It's not a bad idea to keep ties with your previous company especially when you are very junior (i.e. not much furlough fodder below you). As we're all painfully aware, the economy can take a sudden turn at any time. You might be able to slide right back into a full time position if that happened.

Just make sure you follow all of Delta's rules to the letter and you'll have a nice back-up and a little extra $.

I'm guessing the OP doesn't work at Delta yet.