I am working currently on a L1B and my H1B petition has been approved and I have recieved I797B too. The notice states it is valid from 10/01/2013 to 03/02/2016. Since I am a consultant and wanted to work to the specific role, can I still work with my L1B employer and when the right opportunity comes, I can start on the H1B. So to be specific, if I wanted to work after Oct 1, 2013 with my current L1B employer; Is there any issue. Please advise.