Entering USA with previous employer H1B active stamp

[tech]

Scenario: I used to work for employer A and i got pasport stamped with H1B Visa with that employer untill 2012 year end. after stamping i changed to employer B and currently i am working with employer B only.

Question: Can i come back/enter USA with employer A unexpired H1B stamp even being with employer B when i enter USA

[kabkaba]

Name of employer on the Visa does not matter. You can use the same existing Visa and B's approval notice to enter the US. Make sure your I-94 matches B's approval notice when you enter.