Rose has missed the past seven games due to a sprained left ankle, the latest in a long list of ailments he has suffered during his all-star career.
American sports broadcaster ESPN quoted a team source as saying that Rose is “tired of being hurt and it’s taking a toll on him mentally.”
Rose was the 2011 league MVP as a member of the Chicago Bulls before multiple knee injuries interrupted his career.
The 29-year-old Rose is in his first season with Cleveland. The Cavaliers said Rose’s current absence is excused.
“Take as long as he wants to take, and we wish him well and we want him back,” coach Tyronn Lue said.
Rose originally suffered the ankle injury on October 20. He returned to play in five games but suffered a setback on November 7 and has not played since.
Rose, a three-time all-star, is averaging 14.3 points, 2.6 rebounds, and 2.7 turnovers in seven games this season.