Dayton senior Nayo Lear scored 16 points and Ajok Madol each had nine for the Flyers.
Dayton jumped out to a 24-16 lead after Lear scored 10 in the first quarter.
Kansas cut the lead to three points at the half. They went on a 5-0 run to start the second half, taking its first lead of the game at 35-33.
In the fourth quarter, Madol scored to give the Flyers the lead for good at 55-53 with less than two minutes remaining. Lear and Molly O’Riordan each hit two free throws down the stretch to seal the win.
The Flyers hit 14-of-18 free throws in the game and outrebounded the Jayhawks 46-23.
The Flyers travel to George Washington on Wednesday for their Atlantic 10 opener. They return to home for a nonconference game against Long Island University at 1 p.m. Sunday, Dec. 7 at UD Arena.
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