Rose's increasing frustration with injuries is causing him to consider his desire to continue playing in the league, sources said.
The report states there is growing uncertainty that Rose will return to the team from both inside and outside the organization. There is a strong chance he will become the first player ever to win an MVP but not reach the Hall of Fame.
According to the NBA insider, Rose is now away from the team and evaluating his future in basketball as he is "tired of being hurt".
The Cavaliers said that Rose's current absence is excused. He sat out the 2012-13 season in Chicago and played only 10 games the following year due to injury.
However, Thomas is still recovering from a hip injury sustained last season with Boston, and Rose was thrust into a starting role.
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Rose was averaging 14.3 points per game for the Cavaliers.
Rose has missed 11 of the Cavs' 18 games this season, including the past seven because of a sprained left ankle. He then returned to play five games for Cleveland before being immobilized in a walking boot, according to NBA.com.
Rose, 29, has struggled with injuries for the last seven years.
Before the National Basketball Association season began, Derrick Rose was going to be the fill-in until Isaiah Thomas returned to the court.
The Cavs signed Rose to a one-year, $2.1 million contract over the summer with designs of him being the backup point guard.