Can H1B be transfered to F1? Thanks

My wife went to USA with F2 visa. Now, A peofessor want to hire her and transfer her status to J1. I think J1 must back to China and work 2 years before she re-enter USA. So, I want my wife transfer to H1B.

Can H1B be transfered to F1 or back to F2?

Thanks

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