Wooten was drafted in the fifth round (53rd overall) of the 1959 NFL Draft by the Cleveland Browns, where he would play left guard for the next nine seasons. During that time, he blocked for Hall of Fame running back Jim Brown, widely regarded as one of the top running backs in NFL history. Brown led the league in rushing for six of the seven seasons Wooten served as one of his blockers, and was the NFL Most Valuable Player in 1965 with 1,544 yards and a league-best 21 touchdowns. The Browns defeated the Baltimore Colts, 27–0, to win the 1964 NFL Championship Game. They also played in the 1965 NFL Championship Game and lost to the Green Bay Packers, 23–12. In 1979, he was named to the Browns All-Time All-Star Team. In 2010, Wooten was inducted into the Browns Ring of Honor, as well as the Browns Legends program.