[8] On December 14, 2014, it was announced that Heuerman accepted his invitation to play in the 2015 Senior Bowl, along with teammates Doran Grant and Michael Bennett.

He was limited to performing the bench press and tied Penn State's Jesse James for second among all tight ends, behind Louisville's Gerald Christian.

[11] On March 13, 2015, Heuerman attended Ohio States pro day and performed the majority of combine drills.

[22] Throughout training camp, Heuerman competed against Virgil Green, Garrett Graham, Manasseh Garner, and Henry Krieger-Coble for the vacant starting tight end position after the departures of Owen Daniels and Vernon Davis in free agency.

Head coach Gary Kubiak named Heuerman the backup tight end behind Green to start the season.

[24] On September 25, 2016, he made his professional regular season debut in a Week 3 matchup at the Cincinnati Bengals and caught one pass for 29 yards in their 29–17 victory.

[25] In Week 6, Heuerman was a healthy scratch after Green returned from an injury that caused him to miss three consecutive games.

[29] Under new head coach Vance Joseph, Heuerman competed against Green, Derby, and Krieger-Coble for the starting tight end position.

[30] On October 15, 2017, Heuerman caught his first career touchdown on a 13-yard pass from Trevor Siemian in the fourth quarter during a 23–10 loss at the New York Giants.

[31] On December 14, 2017, he caught a career-long 54-yard touchdown pass from quarterback Brock Osweiler in the Broncos' 25–13 victory at the Indianapolis Colts.