Before that he had a steal, then grabbed the rebound that set Millsap up for the winning 19-footer with 1:06 left in OT.
Burks added four assists, three rebounds and a block of Thompson's shot in the lane to end the third, keeping the Jazz within 66-62 entering the final quarter.
"He did a great job," Corbin said of Burks, a shooting guard asked to help at point. "It has put him at a little bit of a disadvantage. But with he and Randy on the floor together, they are able to split duties a little bit and at times initiate, at times be the secondary guy."
Burks, known more for his slashing drives to the basket at Colorado, never has lacked in confidence.
"I just tried to play aggressive with my game and I'm glad coach had the confidence to let me play that one," Burks said.
The Jazz shot 52.8 percent (38 of 72) while the Kings made just 41.2 percent (35 of 87), including 3 of 20 from 3-point range.
Jimmer Fredette, who played college ball at Brigham Young down the road, went 0 for 5, including 0 for 3 beyond the arc and finished with 2 points and three turnovers.
He endured a loud mix of boos and cheers every time he entered but played just 13 minutes.
At least he was around to see the ending.
This was the second time this season against the Jazz that Cousins has been ejected.
The first time, the Kings won 108-97 on Nov. 24.
On Monday, Sacramento had a chance.
The Kings led 82-75 lead with 4:26 remaining.
Utah went on an 8-0 run, Foye hitting a 3, Marvin Williams a pair of free throws then another 3 with 2:40 remaining to give Utah an 83-82 lead.
When it was done, Sacramento had finished its six-game road trip 1-5.
"I think there was conversation on both sides and the referee got to the point where he didn't want to hear anymore," Kings coach Keith Smart said. "The part where it is halftime and you're walking toward them, you will probably always get in trouble doing that."
Notes: Jazz PG Mo Williams remains out at least another two weeks following thumb surgery but had a better excuse to miss practice Monday. He and his wife were celebrating the birth of their fifth son, Maxwell, who arrived Friday at 7 pounds. ... Watson missed his second straight game with a right leg bone bruise. ... Jazz G/F Hayward's has now missed five games with a sprained right shoulder. ... Kings G Fredette was surprised by his wife, who flew to Salt Lake City to meet him for Super Bowl Sunday then attend Monday's game. ... A day after the Super Bowl power outage, the lights at EnergySolutions Arena had to be re-set at the start of the game.