The Packers' transition from Ted Thompson to Brian Gutekunst has brought about a change in philosophy.
Whereas Thompson was extreme in his aversion to throwing money at veterans on the open market, Gutekunst has vowed to take an "aggressive" approach to free agency.
To that end, Green Bay's front office is placing a priority on upgrading Aaron Rodgers' weapons in the aerial attack.
Coach Mike McCarthy has stressed the importance of a seam-stretching tight end to Rodgers' offense. Graham would theoretically replace Martellus Bennett, who was released late last season.
Green Bay's free-agency plans aren't limited to tight end.
The possibility of catching passes from a quarterback of Rodgers' caliber is a strong selling point in Gutekunst's favor as he sizes up the skill-position talent in free agency. The question is whether he can remain in the bidding with deep-pocketed organizations when he has more pressing needs on the other side of the ball.