New Orleans Saints tight end
Graham was one vote away from being a unanimous selection.
Graham finished the 2013 regular season with 16 touchdown receptions, a franchise record and second-most by a tight end in NFL history behind only Rob Gronkowski, who caught 17 TD passes for the Patriots in 2011. Graham also had a team-leading 86 receptions for 1,215 yards.
The Saints (11-5) play the Philadelphia Eagles (10-6) on Saturday at 7:10 p.m. in a wild-card playoff game. Three members of the Eagles - running back LeSean McCoy, tackle Jason Peters and guard Evan Mathis - were first-team All-Pro selections.