transfer of approved consuler h1 while in US on L1

Hello,

I am on L1b ext and just a month is pending for my approved stay of 240 days as there is no response to my l1 extension from uscis.

I have H1b approved as consular process (I need to go India for stamping)

Is it possible to transfer such h1 to another employer as I don’t have i797 however I know the case I’d of my approved h1? Please confirm.

Thanks