[3] On January 21, 2017, Saubert played in the East–West Shrine Game and was part of an East team that lost 10–3 to the West.

[5] He attended two days later and was a part of Cleveland Browns head coach Hue Jackson's South team that defeated the North 16–15.

He was unable to record a reception with top draft prospects O. J. Howard, David Njoku, and Gerald Everett on his team and only having a day of practice.

Saubert was one of 19 collegiate tight ends to receive an invitation to the NFL Scouting Combine in Indianapolis, Indiana.

[8] At the conclusion of the pre-draft process, Saubert was projected to be a fifth or sixth round pick by NFL draft experts and scouts.

[14] With the departure of Jacob Tamme in free agency, Saubert competed for the starting tight end job throughout training camp, against Austin Hooper and Levine Toilolo.

Head coach Dan Quinn named him the third string tight end to begin the regular season.

[15] He made his professional regular season debut in the Falcons' season-opening 23–17 victory at the Chicago Bears.

[29] He made the active roster as the third TE on the depth chart and recorded one catch for 7 yards in Week 1 against the New York Giants.