I am on F1 OPT 17 months extension which expires ending of June 2014. I work for employer A who is e verified but not willing to sponsor H1b . Employer B is sponsoring my H1B but does not wish to be e - verified . 1 . Will I be eligible for CAP GAP to maintain status if I wok for employer B that is not everified ? 2. During the cap gap period between July 2014 and September 2014, can I work Employer B that is not e verified till I start H1b in October 1? Also is it compulsory to work for my H1b sponsor during the cap gap or can I work for any employer during the cap gap till October 1 ?