Hansen's young side went on to win 24-16 at BT Murrayfield but Vito, along with second row Dominic Bird, has since returned home to receive treatment.
New Zealand, who will host the British & Irish Lions in 2017, boast great strength across the back row as they build towards a tilt at retaining their World Cup crown in less than a year.
"He's pretty disappointed to be fair. He's waited a long time to get that opportunity," said Hansen.
"He was building into the game quite nicely and his ball carrying was good. Super Rugby's going to be important for him."