Monroe averaged 3.2 points and 2.9 rebounds per game in the 1995-96 season, backing up Fortson at small forward and helping the team win the Conference USA title and reach the NCAA Elite Eight. His best game was against the University of Arizona, collecting 11 points and 7 rebounds.
He averaged 4.6 points and 2.5 rebounds in the 1996-97 season, contributing to the team winning the Conference USA title and qualifying for the NCAA Tournament second round. He also was considered the strongest player on the team, bench-pressing 415 pounds and leg-pressing 1,130 pounds, both basketball school records at the time.[5]
In 1997, he walked-on to the football team as a fifth year senior in August, after being out of football for 4 years. He became a regular starter at tight end when Josh Anderson suffered a torn ACL against the University of Houston on October 18. He was used mostly as a blocker, finishing with 4 starts, 2 receptions for 33 yards, one touchdown and 30 knockdown blocks.
On August 22, 2000, he was signed by the Jacksonville Jaguars.[10] Monroe was cut from the practice squad on September 6.[11] The Miami Dolphins signed him to their practice squad on September 26, 2000.[12] He was released on October 10.[13]
Monroe was the youngest of 7 brothers and 3 sisters. He died on May 7, 2017, after suffering a heart attack while exercising. He was 40 years old at the time of his death.[17]