He was considered to be one of the best defensive tackle prospects in the 2012 NFL draft, where he was selected by the St. Louis Rams in the first round.

[1] Brockers attended Chávez High School in Houston, Texas, where he was a two-sport athlete playing football and competed in track & field.

As a senior, he led Chávez High School to the first round of the Texas Class 5A state playoffs, where they lost 31–26 to Humble.

After redshirting his initial year at LSU, Brockers saw action in all 13 games of the 2010 season, as backing up Lazarius Levingston at left defensive tackle.

[3] On January 12, 2012, Brockers announced that he would forgo his remaining two years of eligibility and enter the 2012 NFL draft.

[6] On December 9, 2012, against Buffalo Bills, Brockers ended the game with 7 tackles (4 solo), 1.5 sacks and a forced fumble.

The Rams reached Super Bowl LIII after defeating both the Dallas Cowboys and New Orleans Saints in the playoffs.

During the 2020 offseason, it was reported that Brockers was set to sign a three-year, $30 million contract with the Baltimore Ravens; however, the deal fell through due to concerns over his physical.