Hiccups AFTER burping?

My 3 week old gets hiccups ALL the time, which I know is normal. 
But, after she eats and I burp her, she instantly gets hiccups. 
I've done a little experiment and not burped her right away.. And no hiccups! But once I burped her.. Hiccups.
I've always been told to try burping baby when they get hiccups.. But what do I do when burping causes the hiccups?!