Post-OPT expires May 31, 2016
Currently working at Company A (not e-verified). They are filing my H1-B under Cap-Exempt, Cap-Gap via Premium Processing.
Applying for STEM extension through Company B with start date June 1, 2016.
If my H1-B gets picked up in the lottery and gets approved before my Post-OPT expires on May 31,
Can I continue working for Company A under Cap-Gap? OR Do I need to change my employer come June 1, 2016 because of STEM extension?