Drexel had never defeated a team from the Southeastern Conference until posting two victories over teams from that league in this tourney.
The Dragons (27-10) will host Utah in the title contest Saturday.
Taylor Wootton added 16 points for Drexel, which finished third in the Colonial Athletic Association during the regular season.
Florida (22-15) was led by 20 points from Sydney Rice.
Celebrity Couples of 2014 [PHOTOS]