Utah overcame a 10-point deficit in the fourth quarter and owned a 94-91 lead when Toronto's Leandro Barbosa made a 3-pointer with 43 seconds to go. A non-shooting foul on Toronto's Reggie Evans allowed Utah to get a fresh 24-second clock and they eventually went to Devin Harris for the potential winning shot.
Harris leaned in from the right side of the basket and tossed up a layup attempt that hopped off the rim but Jefferson was there to tip in the rebound and help Utah's fading playoff hopes.
The Jazz went into the evening trailing Memphis by two games for the final post-season berth in the Western Conference with Phoenix between Utah and the Grizzlies.
Jefferson led Utah with 34 points and both Harris and C.J. Miles had 23. It was only the third Utah win in 12 games.
Toronto returned home after losing two games to New Jersey in London. DeMar DeRozan scored 17 for the Raptors.