Refilling H1b after gap and working on H4 EAD

I had used 3 years of H1b few years back while working with employer A and then shifted to H4 and joined different employer B on H4EAD basis. So can I file H1B this year with employer B with whom I am working now without going through lottery?

You should be able to file H1B transfer without lottery.

Thanks Anil, so after H4 EAD expiry, can I start working with the employer based on this H1B receipt or I need to wait for approval to come.