By the 1979–80 season, the emergence of young stars like Thomas Gradin, Stan Smyl and Curt Fraser, as well as the acquisition of several skilled veterans, had pushed Oddleifson into a mainly defensive role, and he finished the season with career lows of just 8 goals and 28 points. Early in the 1980–81 campaign, he was assigned to the Dallas Black Hawks, effectively ending his NHL career.