He was selected by the New England Patriots in the second round of the 2013 NFL draft and played college football at Marshall.

In 2009, he played for USA Football's U.S. Under-19 National Team that won the 2009 IFAF Under-19 World Championship in Canton, Ohio, where he was teammates with future New York Giants running back, David Wilson.

[4] Dobson gained recognition in 2011 during a game against East Carolina, when he had a one-handed backhand catch for a touchdown in the second quarter.

With Dobson on IR, the Patriots won Super Bowl XLIX after they defeated the defending champion Seattle Seahawks, 28–24.

[10] He recorded a 17-yard pass from quarterback Tom Brady in a 20–13 win over the Bills in Week 11; on the play, he injured his ankle and had to leave the game.

[11] He was diagnosed with a high ankle sprain, and on November 26, 2015, the Patriots placed him on injured reserve, ending his season.

[19] In 2023, Dobson was hired as an offensive quality control analyst at Marshall by head coach Charles Huff.

[22] In December 2024, Dobson was named wide receivers coach at Southern Miss, again under Charles Huff.