XIAO BAI TU -- a question about H1-B stamping

XIAO BAI TU or others who can help --

I just got H1-B visa(supported by company A) stamping from Mexico, 3 months valid. I plan to go back China during Christmas.

If during November I do H1-B transfer to company B successfully and begin to work for it. Will it be a problem when I use this stamp(with company A's name) to enter USA?

Thanks a lot in advance!