The game to be held at Portman Road is one of just three games remaining in the season for the second string side, with just clashes against Northampton and Colchester remaining after Wednesday's game.
Confirming the selection of Wright for the game, Town boss Roy Keane told the Official Club Website: "Wrighty has worked like a Trojan to get back and it's a case of trying to give him and Arran Lee-Barrett games in the reserves to keep them sharp."
Also amongst the second string squad for the game are Troy Brown, Jack Ainsley, Tom Eastman and recent signing Devann Yao.