"He wants to be back and he wants to play", Lue continued. "We will continue to provide him with support and have patience as he rejoins his teammates and works his way back on to the court".
His status will be updated as appropriate when he reaches the point of returning to play, the team said.
"The guys want [Rose] back", Lue said.
Rose made a decision to leave the team to evaluate his life and career, and speculation about the point guard retiring began to swirl online. The mental toll from a series of significant injuries that have diminished the production of the youngest MVP in National Basketball Association history have played a part in his personal soul-searching, league sources said.
James has not talked to Rose and says he doesn't need to.
He suffered his first injury this season to his right ankle on October 20, but returned to the team after missing four games.
He spent the 2016-17 campaign with the New York Knicks, averaging 18 points per game over 64 contests.
Rose signed a one-year, $2.1 million veterans minimum deal to join the Cavaliers this season.