H1 B Transfer from INDIA

[Mathevan]

Hi All,

I am about to transfer my H1 B from company A to Company B. Currently I am in India and company B is ready to file the transfer immediately.

I am already having a stamped Valid Visa and a approved I797 with Company A in INDIA.

Question:

While the H1 B transfer is in progress or under approval stages, Will I be allowed or able to travel now to US by carrying the offer letter from company B along with the already stamped VISA from company A and a new LCA and the transfer Receipt number and start working for Company B?

Will I be stopped at the POE asking for a valid approved I797 petition from company B and a stamping through company B or
I will be allowed without any issues by just having the current stamping.

Please can someone clarify at the earliest and it will be very much helpful.