L1B RFE moved to H1B

As you presently have H-1B status and are contemplating a move to a different employer who will undoubtedly sponsor you for a new H-1B, you can transfer to the new employer upon obtaining a receipt of the new H-1B filing. The difficulty that you may have is the same as everyone who takes advantage of this rule since you will have left the approved employment for new employment which is not yet approved. If the H-1B transfer petition is denied, you would be out of status. If your new employer sponsors your green card process, you should not have to worry about the period of time that you received an RFE on your L-1B petition. After all, U.S.C.I.S. did approve your initial H-1B petition.Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.  

As long as you were always in some sort of status, your application for permanent residence will not be affected.