Town boss Roy Keane told the club website: "He has done well for us but the hard work starts now. He knows he has got to battle on for the number one jersey."
Keane has recently recruited Brian Murphy from League of Ireland Premier Division side Bohemians, and has refused to rule out signing another goalkeeper.
Wright is expected to be out of action until March as he recovers from a knee ligament injury.
Source: BBC Sport
Source: BBC Sport