The 6ft 7in keeper appeared twice for the first team last season, keeping a clean sheet on an impressive debut against Red Star Belgrade in the Europa League.
He also played in the Carabao Cup win over Norwich City at Emirates Stadium.
Previously Matt enjoyed loan spells with Accrington Stanley and Bristol Rovers, and spent the second half of 2016/17 with Luton Town, where he kept four clean sheets in 11 appearances. He is spending this season on loan at Plymouth Argyle in League One.