Dixon's layup with 1:11 left came in the midst of the final rally as the Tigers (18-5) erased a nine-point Gonzaga lead with 6:15 left.
Shaq Goodwin and Joe Jackson had 10 points each for Memphis, which has won six of seven. Goodwin had eight rebounds and three blocks as Memphis controlled the boards 44-28.
Sam Dower led Gonzaga (21-4) with 18 points and eight rebounds, shooting 9 of 12 from the field. Przemek Karnowski and Gerard Coleman finished with 12 points apiece. Former Kentridge High School star Gary Bell, Jr. only scored 3 points.
Gonzaga led 54-50 with 3:16 left when Kevin Pangos connected from 15 feet. But the Zags did not score again, and Dixon had six points in the final 4 minutes.