Morris saw limited action at Michigan as a freshman until starting in the 2013 Buffalo Wild Wings Bowl in place of starter Devin Gardner.

He redshirted during the 2015 season was the third-string quarterback (behind Wilton Speight and John O'Korn) for the 2016 Michigan Wolverines football team.

[7] He led the team to the MHSAA Division 2 quarterfinals where they lost to eventual state champion Farmington Hills Harrison 33–23.

[8] He began getting scholarship offers starting with Cincinnati, but as a lifelong Michigan fan, he hoped for an offer from Michigan once they abandoned Rich Rodriguez' spread offense and hired head coach Brady Hoke and offensive coordinator Al Borges.

[19] A few weeks into his senior season, he had risen to 26th at ESPN,[1] but suffered season-ending mononucleosis with five games remaining on the schedule.

[24] On September 6, 2012, he was the first quarterback selected to participate in the January 4, 2013 Under Armour All-America Game for high school seniors.

[25] In the game, he was notable for being the recipient of a vicious tackle by Matthew Thomas,[26] who was the top-ranked outside linebacker in the class of 2013 according to ESPN.

[3] On February 7, 2013, Morris was the first player to commit in writing to Michigan on signing day with a 7:01 a.m submission of his National Letter of Intent.

[29] Sources: After Denard Robinson left for the NFL, sophomore Russell Bellomy, the only scholarship quarterback on the roster other than Devin Gardner, endured a season-ending anterior cruciate ligament injury.

[38] Gardner suffered a turf toe injury prior to the 2013 team's 2013 Buffalo Wild Wings Bowl against Kansas State.

[39] Morris started in place of Gardner in the Buffalo Wild Wings Bowl, compiling 196 yards on 24–38 passing.

After Michigan began the season with a 2–2 record under senior starter Gardner and with head coach Hoke under pressure, Morris started in the September 27 Little Brown Jug rivalry game against Minnesota.

[43][44] In the final days before the 2015 Michigan Wolverines football team began its season for new head coach Jim Harbaugh against Utah, Morris was in a quarterback battle with incoming graduate student transfer Jake Rudock, who had started the prior two seasons for Iowa.

[54] O'Korn and Speight were the starters in the April 1 spring game, while Morris lined up at wide receiver early and threw an interception returned for a touchdown as a quarterback.

[62] Morris entered the season with an unresolved status following a quarterback battle with redshirt freshman Tony Poljan; both were expected to play in the opener against Rhode Island.

The fifth consecutive win was a rally from a 17–0 halftime deficit against Northern Illinois in which Morris threw three touchdowns, including a 29-yard fourth-down pass to with 1:32 remaining.