 In 1995 Brown started all but one game, due to an injury, and led Texas to the final SWC Championship, a 10–2–1 record, and a berth in the 1996 Sugar Bowl where Texas lost to Virginia Tech 28–10.He became the first Longhorn quarterback in 20 years to earn first-team All-Southwest Conference (SWC) honors (Marty Akins, 1975) and was also named SWC Offensive Player of the Year.In addition he was named the team's MVP.