Trailing most of the first half, the No. 3-seeded Gators ended the game on a tear to defeat 14th-seeded Western Kentucky.
Temple (22-12) will next play third-seeded Florida, which overcame a slow start to defeat Western Kentucky, 69-56.
They have also won the NIT once, defeating Kentucky in 1947.
The list of teams capable of defeating both Ohio State and Kentucky this season is a short one regardless of the venue.
Florida defeated Kentucky twice and finished second to the Wildcats in the Southeastern Conference.
Two days before, in the semifinals, the Irish lost by 76-60 to Arizona, which defeated Kentucky, 63-51, in the championship game on Friday night.
On September 19, in Louisville, Georgia defeated Kentucky, 7-6.
The Minutemen have defeated Kentucky, a team still considered a favorite to win a national championship.
I saw my first major "upset" in 1966 when Texas Western defeated Kentucky.
In another milestone for Durham, Georgia defeated Kentucky in Lexington, 79-77.