Quinn accepted the offer to attend Notre Dame, where he set 36 Fighting Irish records during his four seasons with the team. There were ten career records, twelve single-season records, four single-game records and ten miscellaneous records broken by Quinn throughout those four years, including the record for career pass attempts with 1,602; completions with 929; yards-per-game with 239.6; touchdown passes with 95, and the Irish's lowest interception percentage with 2.43. Quinn won 29 games as a starter at Notre Dame, tied with Ron Powlus and Tom Clements for the second most in school history.