Davis, who entered the game averaging 19 points and 10 rebounds, finished with 17 points and tied a season-high with 16 rebounds. Rocky Tarrant added 11 points.
Tulane (5-2) opened the game on a 17-4 run, led by five apiece from Tarrant and Davis. The Green Wave, who outshot Loyola 46.2 percent (18 of 39) to 29.2 percent (7 of 24) in the first half, led by as much as 23, 36-13, before taking a 44-21 lead into intermission.
Loyola (5-4) bounced back after the break, shooting 51.6 percent (16 of 31) and holding Tulane to 28.6 percent (8 of 28), but Tulane made 11 of 14 free throws to put the game away.
Kyle Simmons led Loyola with 15 points.
NCAA title game hero Kris Jenkins said he will withdraw his name from the NBA draft and return to Villanova for his senior season.
Andy Katz breaks down the likelihood of Villanova, Syracuse, North Carolina or Oklahoma making a run to the Final Four next season.
Florida State has announced that Xavier Rathan-Mayes will return to the court for his junior season. The 6-foot-4 guard declared for the NBA draft last month but did not hire an agent.