The message says that your petition for transfer is approved. But there are chances that the petition could have been approved without a new I-94 (rare cases - reason can be anything). In such case, you cannot join the new employer unless you leave the country and return back on the new employer's petition and on a valid H1B visa. It is advisable to quit the current job after receiving the H1B transfer approval notice in hand.

Quote Originally Posted by Amby View Post
Yes Shervin. Thank you very much.