Graham signed a one-year contract with New Orleans on Tuesday.
The 36-year-old may need to compete for a roster spot in a crowded tight end corps that features Juwan Johnson, Foster Moreau and Taysom Hill. Graham hasn't seen NFL action since the 2021 season, when he put up just a 14-167-3 receiving line in Chicago across 15 games. Graham may be nothing more than a situational end-zone target if he does make the team, but it will be fitting if he's able to finish out his career as a member of the Saints after catching 51 touchdowns in five seasons and making three Pro Bowls with the franchise in the early 2010s.