回複：急！！請幫忙，關於J1簽證，在線等

you have two months after you terminate your job. but you can ask your boss sincerely to please him (her) to keep you until you have found a new job, it should be OK. and you had better act now to find another job at your institute not in other city. don't worry about it too much, many people have this difficulties.

good luck!