Wells was drafted by the Houston Astros in the 8th round of the 1985 Major League Baseball amateur draft. He had been drafted twice before (by the Cleveland Indians in 1981 and Chicago White Sox in 1984) but did not sign a contract on either occasion.
Wells was best known for being traded on April 1, 1990, by the Astros to the Los Angeles Dodgers for Franklin Stubbs, who had been a member of the Dodgers 1988 World Series team. The trade took place just days prior to the start of the season.
That year, 1990, would be the only season in which Wells would appear. He would start 5 games for the Dodgers, compiling a 1-2 won-loss record with a high 7.84 earned run average. He was released at the conclusion of the 1990 season and would not sign with another Major League team.