Prior to the 2013 CFL season, LeFevour competed against Brian Brohm and Jeremiah Masoli, both from the now-inactive United Football League, for the backup quarterback position. He played a prominent role in both preseason games, completing 17 of 29 passing attempts for 229 yards, 1 touchdown and 0 interceptions, and secured the second-string position (Masoli took third string and Brohm was placed on injured reserve). After starter Henry Burris had a mediocre start of the season, LeFevour saw his first CFL regular-season game action in week 6 of the 2013 season, playing spot duty mostly in short-yardage situations where Burris was having particular difficulty and LeFevour's running and scrambling skills were put to use. LeFevour's efforts helped the Tiger-Cats win that game, 30–29 over the Edmonton Eskimos.