He played college football for the Florida State Seminoles, and was selected by the Saints in the first round of the 2010 NFL draft.

[11] He participated at Florida State's Pro Day and ran the shuttle, three-cone drill, and chose to attempt to beat his combine numbers in the 40, 20, and 10-yard dash.

[16] He entered training camp competing with Jabari Greer, Tracy Porter, and Randall Gay for a starting cornerback position.

[19] On October 10, 2010, Robinson earned his first career start in place of Tracy Porter, who suffered a knee injury the week prior.

[27] On October 2, 2011, he recorded one solo tackle, deflected two passes, and intercepted Blaine Gabbert for his first career pick in a 23–10 win over the Jacksonville Jaguars.

[28] The next week, Robinson assisted on a tackle, deflected a pass, and intercepted Cam Newton in a 30–27 victory over the Carolina Panthers.

[31] He finished his second season with the Saints with a total of 47 combined tackles (38 solo), 15 pass deflections, and a career-high four interceptions in 15 games and seven starts.

[33] On January 7, 2012, Robinson started his second career playoff game and made a solo tackle and a pass deflection in a 45–28 victory over the Detroit Lions in the Wild Card Round.

[35] Robinson entered the regular season as the Saints starting cornerback, opposite Jabari Greer, after Tracy Porter left via free agency.

[36] He started the Saints' season opener against the Washington Redskins and made three solo tackles and a pass deflection in a 40–32 loss.

[37] On September 23, 2012, he recorded a season-high eight combined tackles and three pass deflections in a 27–24 overtime loss to the Kansas City Chiefs.

[38] The next game, Robinson made two solo tackles, three pass deflections, and intercepted Aaron Rodgers in a 28–27 loss to the Green Bay Packers.

[43] In 2013, Robinson sustained a serious injury to his patella during the Saints' second game; on September 18, 2013, he was placed on the injured reserve list, ending his season.

[49] He was benched after the first quarter and replaced with Corey White and Brian Dixon after he was called for three penalties and gave up a three-yard touchdown to Miles Austin.

[46] On October 5, 2014, Robinson made one tackle, two pass deflections, and intercepted Tampa Bay Buccaneers quarterback Mike Glennon in a 37–31 victory.

[52] He entered training camp competing with Jason Verrett, Brandon Flowers, and Steve Williams for the starting cornerback position.

[54] On September 27, 2015, he earned his first start of the season in place of Brandon Flowers and recorded five combined tackles and deflected a pass during a 31–14 loss to the Minnesota Vikings.

[57] He remained the starter for the rest of the season after Flowers was placed on injured reserve for a knee injury he suffered during the Denver Broncos game.

He finished his only season in San Diego with 49 combined tackles (43 solo), eight pass deflections, and an interception in 16 games and ten starts as the Chargers went 4–12.

[59] During training camp, He competed with Antonio Cromartie, Darius Butler, and Jalil Brown for the starting cornerback job.

[60] He started the Indianapolis Colts season opener against the Detroit Lions and made five combined tackles and a pass deflection in a 39–35 loss.

[67][68] He entered training camp competing with Ronald Darby, Jalen Mills, Rasul Douglas, Jaylen Watkins, and Ron Brooks for the starting cornerback position.

[69] Head coach Doug Pederson named Robinson the third cornerback on the Eagles' depth chart to begin the season, behind Ronald Darby and Jalen Mills.