On January 9, 2017, Leggett was part of the Clemson team that defeated top-ranked Alabama in the 2017 College Football Playoff National Championship by a score of 35–31.

[7] As one of the top tight end prospects, Leggett received an invitation to play in the 2017 Senior Bowl, but declined to participate.

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

[9] On March 16, 2017, Leggett attended Clemson's pro day, along with Deshaun Watson, Mike Williams, Carlos Watkins, Artavis Scott, Wayne Gallman, Ben Boulware, Cordrea Tankersley, and six other players.

At the conclusion of the pre-draft process, Leggett was projected to be a third or fourth round pick by the majority of NFL draft experts and scouts.

[20] Throughout training camp, Leggett competed against Austin Seferian-Jenkins and Eric Tomlinson for the job as the starting tight end.

[21] Leggett was slated to begin the season as the starting tight end with Seferian-Jenkins serving a two-game suspension for a DUI.

[24] In Week 4 of the 2018 season, Leggett recorded his first three career receptions, which went for 13 yards and one touchdown, in the loss to the Jacksonville Jaguars.