Moving from EC to EVC model for the same client

Hi all, I have some concerns which I want to ask you all before H1b transfer.

Right now, I’m working full time for a Indian outsourcing company with a client C. It’s an EC model.
Because of some issues, now I want to transfer my H1b to another employer who in turn will have contract with the same Indian outsourcing company for whom I was full time. But the client will remain same.

Will there any problem in this kind of transfer? Is there any chances for RFE here because I’m moving from EC to EVC for the same client?

I dont see any issue in normal conditions for this change.