San Antonio opened a four-game homestand by moving two games behind idle Golden State for the league's best record. The Spurs (55-16) close the homestand against the Warriors (57-14) next Wednesday.
Memphis (40-32) is seventh in the Western Conference, which would result in a first-round matchup with San Antonio if the standings remain.
Mike Conley had 22 points and six assists for Memphis, which lost its third straight to fall 1 ½ games behind Oklahoma City for sixth place.
Marc Gasol, who had 13 points, was the only other Grizzlies player in double figures.