After coming off the bench to record 101 rushing yards in his initial NFL action at New England, he ran for 106 yards and registered 104 receiving yards in his first professional start against Oakland. In the Chiefs' October 18, 1981 game against the Denver Broncos, Delaney broke loose for a 75-yard touchdown run, but an offside penalty caused the play to be restarted from five yards back. On the second play after the penalty, Delaney scored an 82-yard touchdown, the longest rushing play from scrimmage in the 1981 NFL season.