Travel to US when H1 Transfer is Pending Status

Hi, I am currently in India working for Company A which applied my H1 and my H1 was approved and I got stamped in Mar 2007.
This Company A was not willing to send me to US, so 2 weeks back I applied H1 transfer through another company B and the status is pending now.
But now Company A is asking me to go to US, will there be any problem at Port of Entry if I travel to US with H1 transfer pending status?

Thanks,
Jim

With your entry premised on what? A tourist visa?

No. Work Visa.