Nike, Porziņģis' previous sponsor, has the right to match adidas' offer but is not expected to do it.
Adidas has committed to make Porziņģis a featured player in its advertising going forward and could eventually release his game shoes at retail stores.
In order to receive his own signature shoe, Porzingis would have to meet several on-court performance thresholds, such as being voted a starter in the All-Star Game.
"All I can say is both Nike and adidas are first-class companies," said on Wednesday. "I would be lucky to align myself with either one. The amount of attention I received was flattering, but right now I am letting my agents handle the business side of things."