Dixon attended Vernon High School, where he played as a running back. He was named the MVP of the Oil Bowl, which matches high school senior All-stars from the states of Texas and Oklahoma. After high school he joined Cisco Junior College, where he played as a running back. In 1987, he transferred to the University of Houston to play under new head coachJack Pardee, who converted him into a wide receiver. As a junior, he posted 59 receptions for 659 yards and 3 receiving touchdowns. He set a Southwest Conference record with 908 kickoff return yards and led the conference in kickoff return average. In 1988, the football team was employing the run and shoot offense with Andre Ware at quarterback and Jason Phillips as the main wide receiver. Dixon and Phillips became the first teammates in school history to register 1,000-receiving yards seasons in the same year. They are also the only wide receiver unit in NCAA history to each record over 100 receptions and rank 1-2 in the nation in receiving in the same season. In the season, he posted 102 receptions for 1,103 yards and 11 receiving touchdowns, while earning second-team All-American honors. He had 15 receptions against Rice University. He finished his college career second in Southwest Conference history in kickoff return yards and third in kickoff return average.
On August 30, 1989, he was claimed off waivers by the Dallas Cowboys. As a rookie, he started 7 games after Michael Irvin and Kelvin Martin suffered knee injuries. He registered 24 receptions for 477 yards, a 19.9-yard average, 1,688 all-purpose yards and 2 touchdowns. In the 10th game against the Phoenix Cardinals, he set a franchise rookie record with 203 receiving yards, including a 75-yard touchdown reception, in the same contest that Troy Aikman set a then-NFL rookie record with 379 passing yards. His 477 yards were the fourth-most receiving yards by a rookie receiver in team history. The 1,181 kickoff return yards broke Mel Renfro's franchise record of 1,017 set in 1964. His 47 kickoff returns broke Ron Fellows' franchise record of 43 set in 1983. He ranked fifth in the NFL and second in the NFC in kickoff returns with a 25.1-yard average, the highest a Cowboys player has finished since 1971. Against the Kansas City Chiefs, he returned a kickoff for a 97-yard touchdown, becoming the first Cowboy player to return a kickoff for a touchdown since 1975. He added a 90-yard kickoff return against the Green Bay Packers, making him the first player in franchise history with 2 kickoff returns of 90 yards or more in his career. In 1990, he began the season at wide receiver, before being switched to running back and changing his jersey number to 21. On October 21, he made his debut at backup running back behind rookie Emmitt Smith against the Tampa Bay Buccaneers. He led the team in kickoff returns with 736 yards for a 20.4-yard average. In 1991, he had 18 kickoff returns for 398 yards, becoming the franchise record holder in kickoff returns and kickoff return yards. He was released on October 17.
In 1994, he signed with the Fort Worth Cavalry of the Arena Football League to play wide receiver/defensive back. He tallied 32 receptions for 405 yards and 9 touchdownss. The team folded after the season.
