DALLAS, April 28 (AP) -- In a season filled with long-awaited milestones, the Dallas Mavericks got their most important one yet Saturday: A playoff victory.

Steve Nash hit a go-ahead turnaround jumper with 22.7 seconds left and Michael Finley then added two free throws as Dallas pulled out a 94-91 win over the Utah Jazz to avoid a first-round sweep.

Playing their first home playoff game in 11 years, the Mavericks won in the postseason for the first time since June 2, 1988, when they took Game 6 of the Western Conference finals from the Los Angeles Lakers.

The victory was sealed when Nash chased down the rebound of a wild 3-pointer missed by John Stockton.

As time expired, Juwan Howard jumped atop the scorer's table wearing a giant grin and Mavericks coach Don Nelson thrust his right hand in the air.

Stockton led a rally that turned an 11-point deficit early in the fourth into a 91-90 Jazz lead on his layup with 34 seconds left _ Utah's first edge since 18-16.

Utah leads the best-of-five series 2-1. Game 4 will be Tuesday night in Dallas.