Mike Conley helped out with 19 points as the Grizzlies, who hold the fifth seed in the Western Conference, logged a second straight victory.
Zach Randolph chipped in with 14 points and seven rebounds for Memphis.
The Timberwolves, playing without center Nikola Pekovic due to a sprained left ankle, fell despite 23 points, 10 rebounds and nine assists from Ricky Rubio.
Derrick Williams put in 19 points for Minnesota.
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