 In 67 appearances in 2013, Blevins went 5-0 with 4 holds and a 3.15 ERA, striking out 52 in 60 innings.On December 11, 2013, Blevins was traded to the Washington Nationals for minor league outfielder Billy Burns.Blevins finished his 2014 season 2-3, with a 4.87 ERA, 66 strikeouts, and 23 walks, giving up 31 runs in 64 games in 57.1 innings pitched.