 On April 9, 2017, Davenport committed to the University of Memphis after receiving offers from ETSU, Ole Miss, Murray State and UTE.Davenport played his final two years of college at Memphis under head coaches Tubby Smith and Penny Hardaway respectively.On December 15, 2018, Davenport recorded a college career-high 31 points, shooting 12-of-17 from the field, along with 11 rebounds in a 92–102 loss to Tennessee.