Ingram joined his hometown club Wycombe Wanderers as a youngster in 2010 and Ingram was called up to the first-team squad at 17 years old, for a League Two match in September 2010. He then had loan spells at Hayes & Yeading United and Oxford City before being handed his first-team debut for Wycombe, against Accrington Stanley in March 2013. He began the 2013/14 season as Wycombe’s first-choice goalkeeper and had a season to remember as he was named the Football League’s Young Player of the Month for September 2014. He then went on to bag a hat-trick of awards at the end of the season, including the Supporters’ Player of the Year. Ingram's impressive form did not go unnoticed and led to a move to the Championship, with Queens Park Rangers, signing during the January 2016 transfer window. Matt joined Hull City from QPR in June 2019, signing a three-year deal.