Sims was the first overall pick in the
1982 NFL draft, only the third Longhorn to be selected with the first pick. In his rookie year, he came in fifth in the voting for the
NFL Defensive Rookie of the Year. With the
New England Patriots in the NFL, Sims played 74 career games and had 17
sacks over eight NFL seasons. His best year was 1985, when he managed 5.5 sacks despite only playing in 13 games after he broke his leg late in the regular season. He did not get to play in
Super Bowl XX, which the Patriots lost. Sims suffered multiple injuries to his knees, legs and back throughout his career, limiting his play such that the only complete season he played was 1984. He had surgery in 1987 for his back. After that season he signed a one-year, incentives based contract with the Patriots but he ruptured his
Achilles tendon in the opening game of the year and missed the remainder of the season. He was signed to another one-year contract in 1989 and played most of the 1989 season, but missed the last game with an injured knee. Following the 1985 season, the Patriots instituted a voluntary drug testing program after six players, including Sims, admitted to struggling with drugs over the prior years. Sims supported the program and said that he'd gotten himself clean after going through a team-supported drug rehabilitation program. In 1990, Sims was arrested in
Austin, Texas, and charged with possession of cocaine. He was released by the Patriots 16 days later for failing to stay in proper shape. In 1992, after spending time in rehab, Sims signed a one-year contract with the
Buffalo Bills—by this time he was being described as a recovering alcoholic; he was waived before the start of the season. ==Death==