Awkward GC situation

[Long_Wait]

Hi All,

I have the following awkward situation for my GC filing...

I work for company X as a contractor for company Y. I may be hired as full time employee of company Y in another year or so. So, starting my GC process with company X right now would go waste when i get converted to full time employee of company Y. Right??
Is there a way that company Y can file for my GC even though i do not work for them right now?? If so, please advise how??

Thanks a ton!!