回复：PJIANG:请问有一家公司说愿意接受H1B transfer，但不sponsor new H1B

Just ask the new employer to file an H1 transfer petition for you and you have no problem to get it approved. If you have lost your job for a while, you had better ask your employer to use Premium Processing to get the petition approved within 15 days and you can work after the transfer petition is approved.