As a freshman at Oral Roberts, he was a regular starter and averaged 14.4 points, earning Summit League All-Newcomer Team honors.[8][9] On December 8, 2020, he recorded 36 points, nine assists and six rebounds in an 83–78 loss to Oklahoma State.[10] On February 13, 2021, Abmas scored a career-high 42 points in a 103–86 win over South Dakota State.[11] Two days later, he was named Lou Henson National Mid-Major Player of the Week.[12] On February 27, Abmas scored 41 points in an 85–81 victory over Western Illinois.[13]
At the close of the 2020–21 season, Abmas was named the Summit League Player of the Year and first-team all-conference.[14] He helped his team win the Summit League tournament, where he was named MVP, and earn an NCAA tournament berth.[15] In the first round of the NCAA tournament, he led 15th-seeded Oral Roberts to a 75–72 upset win over second-seeded Ohio State in overtime, scoring 29 points.[16] In the second round, Abmas scored 26 points to help upset seventh-seeded Florida, 81–78.[17] In the Sweet 16, Abmas scored 25 points in a 72–70 loss to Arkansas.[18] With this performance, Abmas became the first player to score at least 25 points in each of the first three rounds at a single tournament since Stephen Curry during the 2008 NCAA tournament.[19] His play at the tournament has led many to draw comparisons between him and both Curry and Jimmer Fredette. On May 9, 2021, he declared for the 2021 NBA draft while maintaining his college eligibility.[20] He withdrew from the draft on the day of the deadline.
On May 5, 2023, Abmas signed an Athletic Scholarship Agreement to play basketball at the University of Texas.[24]
In February 2024, Abmas was one of 30 players selected to the 2024 Jersey Mike's Naismith Trophy Men's College Player of the Year Midseason Team.[25]
On February 5, 2024, Abmas was named the Big 12 conference Newcomer of the Week for the third time.[26]
In April 2024, Abmas was named College Sports Communicators Academic All-America Division I Men's Basketball Team Member of the Year. He was also one of five players named to the CSC Academic All-America first-team. Abmas was the first player in program history to receive the Academic All-American of the Year honor and just the third student-athlete at the school to be recognized as the Academic All-American of the Year in their respective sport. He played and started in all 34 games that season and led the team in scoring, assists and minutes. He tied the single-season record for most three pointers made in Big 12 conference play, sharing the mark with Kevin Durant and Daniel Gibson.[27]
In April 2024, Abmas was selected for the Portsmouth Invitational Tournament.[28] At Portsmouth, he played in 3 games and averaged 8.7 points, 3 rebounds, and 2.7 assists.
