L1B to H1B Conversion.

During my L1B Visa processing, I simultaneously applied for H1B visa. and now i got my L1B visa accepted.

Note: while applying for H1B, it was applied as fresh one. ( not as L1 to H1 conversion). only after applying H1 petition documents at USCIS (after april 1st week). I got my L1B Visa.

Please advise me, if my petition documents gets selected in the H1B lottery. will my visa status gets turned to H1b automatically?