I am in the US on a H1-B visa, and my employer is starting the process of sponsoring me for a green card. I was born in the UK. Is this likely to succeed, and i

I am in the US on a H1-B visa, and my employer is starting the process of sponsoring me for a green card. I was born in the UK. Is this likely to succeed, and is there an estimated time it takes to be selected?