As far I know, america ma kosaile pani koslailai solicitation ma rakhna paudaina. If you can talk to your client about your status, you can definitely move on.

You mean I shouldn't worry about the desi company and join the client (The
state of Minnesota) full time?
I worked with the state as a consultant for past 1 year.
Ani maile banayeko state software lai support garna ani aru kaam garna, state le malai full time bass bhandai thiyo. I already have my GC not from that desi company.
Tara tehi 1 year samma tyo desi company le pathayeko client sanga kaam garna paudaina bhaneko lekheko raicha.
Tesaile, confuse bhai ra thiye, join garyo bhane tyo desi company le k garna sakcha bhanera?
Uni haru sanga pani mero ramro term nai cha. Uniharu lai mero 2-3 jana bhai haru pani refer gareko chu.
Tehi bhayera, worst case scenario ma k huna sakcha bhanera sochi rakheko thiye.
Ya maile uni haru lai ma phd garna lage wa Nepal jana lage bhanera company quite garau ki bhanera.

If you have GC then nothing to worry about. You can leave consultancy anytime. Ramro term cha bhane you can make some excuse and leave it. (Actually truth nai bhane pani kei farak pardaina). They cannot sue you or make you pay for leaving the consultancy.