Davis didn't play in the third quarter, however, and the Favors-led Jazz made 12 of 19 shots while scoring 30 points.
"I played like crap in the first half," Favors said. "I just wanted to help my teammates more. I wanted to play with energy and try to win the game."
Jazz coach Tyrone Corbin dismissed questions about how losing Davis impacted the Pelicans.
"We play our game," he said. "Anthony Davis is their problem. We coach our players."
Although Davis seemed to play with limited mobility in the first half, he helped the Pelicans keep Favors and the Jazz in check. New Orleans built an early 18-13 lead. It was 41-35 late in the second quarter before Utah got within two at halftime.
"We wanted to go right at him because he's such a good shot-blocker," Corbin said. "You can't finesse the ball around him. He can stay on the floor and block shots. He did that to Derrick a couple of times early in the game. ... He's a good player, man."
Favors scored the first basket of the third quarter, giving him six points in the game. Moments later, he scored 10 points in a three-minute stretch, helping the Jazz build a 58-53 lead.
"We just had to make some adjustments," Favors said. " ... There were some things we did to have people move around a little instead of stand still."
Davis returned for the fourth quarter and the Pelicans stayed close behind the play of Anthony Morrow, who finished with 26 points. But the Jazz never relinquished the lead they grabbed when Davis wasn't in the game.
"They are a little different because, obviously, he's their No. 1 option," Trey Burke said. "They go to him a lot. They go to that pick-and-roll and look for him to pop.
"Without him in the game, Morrow tried to be more aggressive ... [and] he had a really good game. But we did what we had to do to pull a win out."
Asked about the play of Favors, Burke said, "We need that from him every night to score on the block and clean up misses. He had a great game."
A closer look
• Derrick Favors finishes with 20 points and nine rebounds in Utah's 100-96 win over New Orleans.• Favors scores 14 points in the third quarter, when the Pelicans' Anthony Davis is out with back spasms.
• The Jazz snap a five-game losing streak after scoring 57 points in the second half.