I’m on a J1 visa which expires in June 2016. My current employer is willing to apply for an H1B for me in April. The official start date for H1B visas is October 1. Unlike F1 visas, J1 visas do not qualify for the “cap gap”.
So if I applied with my current employer company A for an H1B in April and get approved in May (premium processing) but then seek employment with company B via H1B transfer and company B successfully submits my H1B transfer petition, say in June, when can I legally start working for company B – in June upon successful H1B transfer petition or do I still have to wait until October?