Dayton (4-1) will go against Minnesota, a 76-69 winner over Indiana State earlier Friday, in the title matchup.
Parker went 0 for 5 from the floor and didn't score Thursday when Dayton beat Wake Forest 80-76.
Rakim Sanders had 17 points for Fairfield (3-3). He had 21 points and seven rebounds in the Stags' 55-44 victory over Arizona State on Thursday.
Dillard had a three-point play as Dayton went ahead 54-49 with 62 seconds to play. He added two late free throws after a techical was called on the Fairfield bench.