Working with special teams coach George Cafego, Reveiz rebounded with a strong senior season in 1984, hitting 20 field goals on 23 attempts, and connecting on 29 of 30 extra point attempts. At one point in the season, he hit 18 consecutive field goals, which was an SEC record until 2014. He hit the game-winning field goal in Tennessee's 24-21 victory over Georgia Tech on October 27. He was named an All-American by Gannett News, and All-SEC by SouthSports. He competed in the annual Blue–Gray Classic at the end of the season, hitting four field goals in the South's 33-6 victory.