What happens when a cap-exempt H-1B worker wants to move to a non-cap-exempt job?
Timing becomes very important if switching to job that will require you to compete for one among a limited number of new H-1B visas.
I am in the U.S. on an H-1B visa, working at a nonprofit research institute as a research scientist. The nonprofit is affiliated with a university. I have been offered a similar job by a U.S. private company. Can I transfer my H-1B visa to work there?