Utah rallied after trailing by 11 in the fourth quarter, and no was basket bigger than Jefferson's 3-pointer with two seconds left in regulation, a shot that bounced around the rim before falling through. It was just the second 3-pointer of Jefferson's nine-year career. He came in 1 for 25 from 3-point range.
Mo Williams had 17 points and 14 assists, Randy Foye scored 20 points and Marvin Williams had 17 as the Jazz opened a four-game trip by avoiding their first 0-5 start away from home since 1987.
DeMar DeRozan matched his career high with 37 points, Jose Calderon had 20 points and 17 assists, and Amir Johnson fouled out with 11 points and 14 rebounds for the Raptors, who lost their fourth straight.
Linas Kleiza fouled out with 20 points and Andrea Bargnani scored 19 for the Raptors, who lost their eighth straight home game against Utah.
Utah trailed 97-86 with 7:02 to go before rallying. Johnson tipped in DeRozan's miss to give Toronto a 104-101 lead with 16 seconds left before Jefferson's rare 3-pointer sent the game to overtime.
A driving dunk by DeRozan gave the Raptors a 115-113 edge with 23 seconds left in the first overtime, but Jefferson tied it again, making a jump hook with 19 seconds to go. Toronto let the clock run down before DeRozan missed a jumper, sending it to a second extra session.
The Jazz led 125-122 with seven seconds left in the second overtime but backup guard John Lucas drained a 3 from the wing. Mo Williams drove for the winning basket but couldn't get his shot off as a trio of Toronto defenders closed in on him, setting up a third overtime.
A 3 by Calderon gave the Raptors a 130-129 lead at 3:19 of the third OT, but Favors made a layup and Millsap hit a 3 of his own, giving the Jazz a 134-130 lead with 2:16 left.
Jazz guard Mo Williams returned after sitting out Sunday's home win over Phoenix with a strained right adductor muscle.
Toronto guard Kyle Lowry (right ankle) missed his third straight game, swingman Landry Fields (right wrist) sat for the second straight game. Dominic McGuire made his first start of the season in place of swingman Alan Anderson, who left Saturday's loss to Philadelphia with a sprained left foot.
NOTES: DeRozan played a career-high 59 minutes. ... Toronto's last home win over Utah was a 98-86 win on Dec. 22, 2004. ... Utah did not play in Toronto during the lockout shortened 2011-12 season. ... The Jazz are 24-8 all-time against the Raptors, including 12-4 on the road. ... It was Toronto's first triple OT game since Feb 23, 2001 against Sacramento. ... Utah will also visit Boston, Philadelphia and Washington on this trip.