Paul Millsap helped out with 18 points and 10 rebounds as the Jazz handed Western Conference-leading San Antonio its first loss since March 17.
The Jazz kept pace with Denver in the race for the West's eighth and final playoff spot with the win, remaining 1 1/2 games games behind following the Nuggets' win over Golden State Monday.
Tiago Splitter and Gary Neal led the Spurs with 14 points apiece.
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