Multiple H1B transfer petitions


Chicago elite

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 I am on my H1B from company A. I have recently joined Company B and I have started working on my receipt. My transfer is still under process (recently they have issued an RFE). My I-94 expires in August 2019.
Apparently Company B is in financial losses and we can end up in some turmoil.
I would like to look for opportunities.
Do you think I can start looking for new jobs and can have new petition (transfer) filed while the current one is under review or wait until the decision on my current petition is being made?

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