[7] In 2017, as a freshman at Ole Miss, Dillard appeared in 48 games (making 45 starts) in which he hit .206 with four home runs, eight doubles, and 12 RBIs.
[8] As a sophomore, he started 65 games in left field without making an error and batted .310 and led the Rebels with 13 home runs, 59 RBIs, and 17 stolen bases.
[10][11] In 2019, his junior year, he returned to catching, started 68 games, and hit .310 with 14 home runs, 61 RBIs, and set an Ole Miss single-season record with 61 walks.
[12] Following the season's end, he was selected by the Milwaukee Brewers in the fifth round of the 2019 Major League Baseball draft.
[17] To begin the 2021 season, he was assigned back to Wisconsin, now members of the High-A Central, and was promoted to the Biloxi Shuckers of the Double-A South in early August.