If your company is prepared to sponsor you for a Green Card (permanent residency) then yes your chances are likely very good. However, be prepared to be in proc

If your company is prepared to sponsor you for a Green Card (permanent residency) then yes your chances are likely very good. However, be prepared to be in process for a number of years - if the H1B1 expires and you are in Green Card process then you can get extensions, but if your application is then bounced for any reason you are visa-less. The process is stressful, but mostly just paperwork. Get a good immigration lawyer and make sure they do their homework . Good luck!