Changing status back to H-1B is risky. The reason being is it is inappropriate to use B-2 status to remain in the U.S. while looking for a new job. B-2 is a visitor visa not a placeholder. It is made even more risky because you likely did not indicate you would be looking for another job. You may be able to obtain a new H-1B through consular processing. Changing your status can take months. Obtaining a new visa through consular processing is typically faster. Have you discussed consular processing with the university's attorney? Without more specific information, it is impossible to assess other and future immigration benefits.
Answered on Aug 29th, 2016 at 3:46 AM