Curry was drafted by the Philadelphia Eagles in the second round (59th overall) of the 2012 NFL Draft. He is the highest selected player from Marshall since Darius Watts in 2004. Curry signed a four-year contract with the team on May 9, 2012. His first year was uneventful, he played 6 games, started zero, and finished with 9 combined tackles. He was given an increased role in his second year, finishing with 17 tackles, 5 assists, 4 sacks, and 2 pass deflections. Curry had a breakout season in 2014, where he played all 16 games. Although he did not start a game, and he only recorded 17 tackles and 2 assists, he recorded 9 sacks, second on the team only to Connor Barwin and led the team in forced fumbles, with 4. In a disappointing 2015 season, Curry was moved to outside linebacker and struggled to find a groove, totaling 12 tackles and 3. 5 sacks in 16 games and no starts.