"They said they have no plans to move him -- bottom line," Stewart told ESPN.com.
Stewart said both he and Kemp considered that to be good news because the two-time All-Star doesn't want to leave Los Angeles.
"We're both happy about it," he said.
The Dodgers have talked to several teams about Kemp during the winter meetings, as well as earlier in this offseason, and had even said they would take on some of the $128 million remaining on the center fielder's contract over the next six seasons.
But clubs that spoke about Kemp with Los Angeles said the Dodgers never appeared anxious to trade the 29-year-old even though his health is in question and his trade value is at a low ebb.
Kemp is recovering from surgeries on his shoulder and ankle this winter, after a season in which he spent three lengthy stays on the disabled list. He played in a career-low 73 games, hit just six home runs and slugged a career-low .395 -- more than 100 points lower than his career slugging percentage going into the season.
But it is likely that the Dodgers will wait until spring training, or even midseason, before pursuing any serious trade talks for any of their outfielders. They'd previously told other teams they would listen on Kemp, right fielder Andre Ethier and left fielder Carl Crawford.