Career
Brandon was selected in the sixth round of the 2012 NFL Draft. He played college football at the University of Miami. At the University of Miami, Washington was an All-Administrative Committee on Company-ordination selection as a sophomore in 2010.
On December 16, 2011, Washington announced that he would forgo his senior season and enter the 2012 NFL Draft.
Washington was selected by the Philadelphia Eagles in the sixth round (200th overall) of the 2012 NFL Draft. He signed a four-year contract with the team on May 11, 2012.
On August 31, 2012, the team released Washington as part of its final cuts. On December 31, 2012, Washington signed a two-year, $1,060,059 contract with the Saint Louis Rams.
He was waived on August 30, 2014.
After clearing waivers, he was signed to the Rams practice squad.