He played college basketball for the Gonzaga Bulldogs, where he was a consensus first-team All-American as a senior.

[1] Rated a four-star recruit, Kispert committed to play college basketball at Gonzaga over Notre Dame after his junior season.

[7][8] Kispert entered his junior season on the Julius Erving Award watchlist and as Gonzaga's only returning starter from the previous year.

[16] Coming into his senior season, Kispert was named to the Preseason All-West Coast Conference team.

[18] On December 26, 2020, Kispert scored a career-high 32 points, tying the school record with nine three-pointers, in a 98–75 win against Virginia.

[20] Kispert was named WCC Player of the Year and won the Julius Erving Award as the top small forward in the nation.

[25] Kispert made his NBA debut on October 22, scoring two points in a 135–134 overtime win over the Indiana Pacers.