Dockery, who played his college ball at Mississippi State, wore number 35 as a rookie for the Giants in 2006. That season, number 35 got into 14 games for New York, and contributed 29 solo tackles. He also proved deft at the art of the take-away, picking the ball off 2 times for a combined 100 yards, 1 of which would be a touchdown.
In four total seasons as a Giant, Dockery had 119 solo tackles and 3 interceptions. He saw action in 51 regular season games, starting 10 of them.