Adjust status means to go from a non-immigrant status to immigrant status. It means changing status to a permanent resident commonly known as the green card.
Adjustment of status of non immigrant to that of person admitted for permanent residence is provided in 8 USCS § 1255.
Only if an alien has been admitted or paroled into the U.S. does become eligible to adjust his/her status. [Delgado-Sobalvarro v. AG of the United States, 625 F.3d 782, 785 (3d Cir. 2010)]