If I’m working in the US on a J2 visa, may my employer start the green card sponsorship procedure without changing my status first to H1B?
Yes, definitely. H visa (or ANY visa for that matter) is NOT required for you to start the Labor Certiicstion process, which is based on the offer of employment, NOT the actual current employment. I would be glad to help - email me directly at meltser@bmlaw.com