In 1971, despite being unhappy with his minimal playing time as backup halfback, he helped the Dolphins to their first Super Bowl, Super Bowl VI, by leading the American Football Conference (AFC) with a 28.2 yard kickoff return average. During the regular season, Morris also made the most of his opportunities at running back, gaining 315 rushing yards on 57 carries for a 5.5 yard average, an average that would have led the NFL, had he had enough carries to qualify. That season, Morris was selected for the Pro Bowl for the first time as a kick returner, although he also was used as a running back in the game.