Dockett attended Florida State University, where he played for coach Bobby Bowden's Florida State Seminoles football team. After an early season injury, Dockett redshirted his first year at Florida State, as the Seminoles went wire-to-wire as national champions in 1999. In 2000, they had to replace interior defensive linemen Corey Simon and Jerry Johnson in the starting line-up. Dockett successfully secured a spot, starting the last 10 games of the year at defensive tackle. He recorded 66 total tackles (including 32 unassisted), which was most of any freshmen on the team, and tied for the team lead in tackles for loss (19). Dockett also added a team-high 18 quarterback hurries, and seven sacks (third on the team). His performance earned him freshman All-America honors, and he was named the freshman defensive player of the year by Football News.