Conversion of L1A to H1B


I was on L1B and after completion of 3 yr, i got it converted to L1A in Feb 2014. I want to move to H1B so that i can switch the Job. Can the new employer get my L1A converted to H1B without letting the curent employer know about this. Also wanted to know if this H1 conversion will fall into the lottery system?

Thank you

Your new employer will require to file H1B next year for you.