Butt caught 96 passes for 1,361 yards with 20 touchdowns and posted 142 tackles and 20.5 sacks during his high school career.

He hauled in 68 receptions for 907 yards with 12 touchdowns as a senior and received Associated Press Division I All-Ohio first-team recognition.

On November 16, 2013, Butt caught his first career touchdown on an 11-yard pass from Devin Gardner, helping Michigan secure a win over Northwestern.

On November 30, 2013, Butt caught a season-high five passes for 85 receiving yards and a touchdown as the Wolverines lost 42–41 to longtime rival Ohio State.

His playing time increased after Devin Funchess moved from tight end to wide receiver.

[7] He finished his first season at Michigan with 20 receptions for 235 yards and two touchdowns and was selected by ESPN.com as a member of the All-Big Ten Conference freshman team.

He made his season debut in Week 3 and caught three receptions for a season-high 59 receiving yards and scored a touchdown on a 29-yard pass from Devin Gardner in a 34–10 victory over Miami University.

During Michigan's season-opening 17–24 loss against Utah, Butt made a career-high eight receptions for 92-yards and caught an 8-yard touchdown pass from Jake Rudock.

[17] During the 2016 season, Butt was the team's second-leading receiver with 43 receptions for 518 yards and four touchdowns, including 29 of those catches that netted a first down.

[26] Butt was unable to participate in drills at the NFL Scouting Combine and at Michigan's pro day.

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

During training camp, he competed to be the starting tight end against Jeff Heuerman, Matt LaCosse, and Troy Fumagalli.

[39] On September 27, 2018, Butt sustained a torn ACL during a non-contact drill during practice, which sidelined him for the remainder of the season.