He played college football for the University of Texas, and was selected by the Washington Redskins in the fourth round of the 2012 NFL draft.

[citation needed] In track & field, Robinson was a two-time letterman, and was one of the state's top performers in the triple jump.

[3] Robinson spent five years at Texas, where he was a two-time Butkus Award semifinalist, earned 2nd Team All-Big 12 honors and was the 2011 Holiday Bowl Defensive MVP.

He redshirted his initial year at Texas and spent the 2008 season mostly on special teams, but became a starter in his sophomore year, playing in 51 games and starting 39 over his career including the Big 12 and BCS Championship games; recording a career high 10 tackles, including a TFL in the first and 7 tackles and a half-sack in the second.

On July 26, 2013, it was announced Robinson tore his left pectoral muscle the first day of training camp for the 2013 season and had expected to be inactive for three to five months.

[14] In Week 1 of the 2014 season, he made his first career NFL start, a 17-6 loss against the Houston Texans, in which he recorded a total of 6 tackles.

[16] In a Week 4, 2015 game against the New England Patriots, Robinson recorded his second career interception against Tom Brady.