Is GC still a Future Employment?

[Capri06]

Dear All,

I will be starting my 6th year H1B from October. I have been asking my employer to start my GC but they say that there is no future employment for GC now. Is it true? I am also doing my MBA part time which I will complete in June, and then they will file my GC. Please advice if they can start now or wait till June.

Thanks.