The Buccaneers chose Glennon in the third round with the 73rd pick overall.
Glennon redshirted his first year on campus, then saw action in seven games in 2009 (24-39, 248 yards, one TD, two INT). Glennon only entered three games the next season (9-13, 78 yards) before getting his chance to lead his team as a junior. He started all 13 games in 2011, completing 62.5 percent of his passes for 3,054 yards, 31 touchdowns and 12 interceptions. Glennon's name started to gain steam in 2012, possibly due to the early success of Russell Wilson in the NFL, but the senior did himself some favors throwing for 4,031 yards, 31 touchdowns, and 17 interceptions while completing 330 of 564 attempts.
He did run for two touchdowns despite limited mobility, but Glennon totaled negative 164 yards rushing.