Blue attended and played high school football at Hahnville High School. He rushed for 1,695 yards and 25 touchdowns along with 13 receptions for nearly 200 yards and three touchdowns in his senior season in 2009. Blue was a member of the SuperPrep Southwest Team and was named to the Baton Rouge Advocate Super Dozen. Blue earned the honors of the Class 5A all-state first-team in 2009 and was selected as the District 6-5A 2009 Offensive MVP. Blue was also on the school’s track team, where he ran the 200-meter dash in 23.5 and the 4 × 200 m relay in 1:28.70. Blue was ranked as a three-star prospect by Rivals and Scout.com. Blue committed to LSU to play college football under Les Miles.

Blue was drafted by the Houston Texans in the sixth round with the 181st overall pick in the 2014 NFL Draft. In his first regular season game as a rookie with the Texans, Blue blocked a punt against Washington Redskins punter Tress Way and returned it for a touchdown. On September 21, 2014, Blue had his first career start against the New York Giants. On October 5, 2014, Blue had his first career fumble recovery against the Dallas Cowboys. On October 20, 2014, Blue caught his first career touchdown reception against the Pittsburgh Steelers. On October 26, 2014, Blue caught a season-high 22-yard pass against the Tennessee Titans. On November 16, 2014, Blue ran for 156 yards on a franchise-record 36 attempts against the Cleveland Browns. On December 7, 2014, Blue scored his first career rushing touchdown, against the Jacksonville Jaguars. At that moment, Blue became the first player in franchise history with a rushing, receiving, and return touchdown in the same season. On December 28, 2014, Blue set career highs in receptions (6) and receiving yards (37) against the Jacksonville Jaguars. Blue finished the 2014 season with 528 yards, which was the fourth-highest total for a rookie rusher in franchise history.

In the 2015 season, Blue remained a contributor in the Texans’ backfield. In Week 3, against the Tampa Bay Buccaneers, he had 139 rushing yards and a rushing touchdown. On December 20, against the Indianapolis Colts, he had 107 rushing yards in the 16–10 victory. In the regular season finale against the Jacksonville Jaguars, he had 102 rushing yards in the 30–6 victory. Overall, he finished the 2015 season with 698 rushing yards, two rushing touchdowns, 15 receptions, 109 receiving yards, and a receiving touchdown. The Texans won the AFC South and made the playoffs. In the Wild Card Round against the Kansas City Chiefs, he had 17 carries for 99 yards in the 30–0 loss.

In the 2016 season, Blue’s role in the backfield dipped, but he still produced for the team. On Christmas Eve, he had 73 rushing yards and his lone rushing touchdown of the season against the Cincinnati Bengals. Overall, he had 100 carries for 420 yards and a rushing touchdown in the 2016 season. For the second straight season, the Texans won the AFC South. In the Wild Card Round against the Oakland Raiders, he was limited to four rushing yards in the 27–14 victory. in the Divisional Round against the New England Patriots, he had two rushing yards in the 34–16 loss.

In the 2017 season, Blue’s production dropped for the second straight season. On Christmas Day, he had 108 rushing yards in the 34–6 loss to the Pittsburgh Steelers. Overall, he finished the 2017 season with 262 rushing yards, one rushing touchdown, seven receptions, and 54 receiving yards.

On April 30, 2018, Blue re-signed with the Texans on a one-year contract. Overall, in the 2018 season, he had 499 rushing yards and two rushing touchdowns. The Texans returned to the playoffs and faced off against the Indianapolis Colts in the Wild Card Round. In the 21–7 loss, he had 19 scrimmage yards.

On April 1, 2019, Blue signed with the Jacksonville Jaguars. On September 1, he was placed on injured reserve. He was released on October 28.