I am currently on F1-OPT and have applied for the STEM OPT extension (STEM OPT has not been approved yet). I have been working with employer A for 1 month now and have received another job offer from company B. I plan to work for both the employers once my STEM OPT is approved.

Employer A is willing to sponsor H1B (5 months from now) and also the Green card in the future (9 months from now). But, employer B is not willing to sponsor either H1B or Green Card. Because of this, I do not plan to leave employer A and also plan to work for employer B at the same time.

So, I would like to know if this employment overlap (due to working 2 jobs at the same time) during the OPT or STEM OPT will have any impact(possible RFEs or denials) on the H1B or Green Card processes in the future? What is the right way to navigate this situation?