As a junior in 1958-59, Davis started at guard alongside Carl Bouldin and averaged 15.5 points (second to Robertson), 4.4 assists and 2.0 rebounds as the Bearcats were again MVC champions and Davis was named All-MVC.
As a senior in 1959-60, Davis posted averages of 13.7 points (again second to Robertson), 4.4 assists and 2.0 rebounds per game while shooting 50 percent from the field as again the Bearcats won the league crown.