H1B visa on Indian Passport to UK passport

Hi All,

I have some queries to know how it works as I have unusual thing.
Currently I am on Indian Passport and one of the employer is filing H1b and on another side I have already applied for UK citizenship 2 months back.
So if I got in lottery for H1b and then if I get Uk passport on hand can I do anything to get the H1B visa stamped on UK passport?
On another hand If I get get H1B stamped on my Indian passport what will happen if Iget UK passport? Can I get H1B visa transferred to UK passport?

Please help me with the questions.