The Rams will face top-seeded Saint Louis on Sunday in a matchup of the league's top two teams during the regular season. The Billikens won 76-62 at home in their one meeting Feb. 19.
VCU (26-7) forced 24 turnovers to hold off a pesky Minutemen team that upset Temple in Friday's quarterfinals.
Rob Brandenberg's 3-pointer as the shot clock expired finally gave the Rams some breathing room, putting them up 68-61 with a minute-and-a-half left.
Juvonte Reddic added 18 points and 12 rebounds.
Chaz Williams ended his A-10 tournament run back home in Brooklyn with 62 points in three games for sixth-seeded UMass (21-11). He scored 18 on 7-of-12 shooting Saturday.