San Francisco (9-11, 2-5 West Coast) won despite collecting just 17 rebounds.
The Dons made up for that discrepancy in other areas, hitting 16 of 17 free-throw attempts and building a 35-16 scoring advantage off the bench.
Dickerson hit three 3-point field goals and had three steals. Cody Doolin had seven assists.
Portland (8-13, 1-5) had a 37-33 lead at the half. It outscored USF 32-24 in the paint and had an 11-7 edge in second-chance points.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.