In 2008, Robinson played junior college football for Mesabi Range Community and Technical College (now known as Mesabi Range College) in Virginia, Minnesota, winning the Minnesota College Athletic Conference championship. He led the division in rushing and scored the only points of the championship game. He then attended Blinn College in Brenham, Texas, where he played on a team that also featured future Heisman trophy winner Cam Newton and won the 2009 NJCAA national championship; Robinson was a NCJAA All-American at running back. He went on to West Texas A&M, where he played for two seasons and was named to the 2012 D2Football.com all-America team.

The New Orleans Saints signed Robinson as an undrafted free agent on May 13, 2013 on a tryout basis, and he survived training camp to make the team. Robinson ran for 224 yards in 10 regular season games, and had a key role in the Saints' first-round playoff win over Philadelphia.

In 2014 Robinson was again part of the Saints' corps of running backs. When Mark Ingram suffered a broken hand in Week 2, Robinson's role increased. In a Week 5 overtime game against Tampa Bay Buccaneers, he finished the game with a well-executed 18-yard run through the Tampa Bay defense for a touchdown that won the game 37-31.

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