Second H1 transfer in a few weeks of first H1 transfer approval

Hi All

I have a similar situation as the following:

I joined Company B last week and I really need to switch to Company C. Company C has agreed to start the H1B transfer. The immigration program manager from Company C is saying that there will not be any issue on transferring H1b’s successively like this?

I am really worried. I really need to move to Company C? Can anyone please give me some clarity from their experience.

Thanks

Hi

Please anyone help, if you have any insight on this. Presently, the LCA had been applied on 02/02/2015 and still waiting for it.