H1B transfer to employee C when transfer to employee B is still in progress .. URGENT!!!

My H1B transfer to company B still in progress, it was submitted way back in May 2017 under normal processing, I am working at the client location under company B since May 2017, now my client’s implementation vendor (company C) offered me a full time position, is it possible to file transfer to C while transfer to B is still in progress? my I797 with company A is still valid until Aug/2019.

Did you got any response for your question? I am also in a similar boat…