Speaking before Cleveland's 116-111 win against the Memphis Grizzlies, Lue did not want to delve into further details about the recent communication between parties, directing media members to speak with Cavs general manager Koby Altman.
When asked about Lue's comments, Altman, who was attending Saturday's game, affirmed that the dialogue with Rose and his representatives has been positive, acknowledging there would likely be another update regarding his status in the near future.
ESPN's Adrian Wojnarowski and Dave McMenamin reported last week that Rose was pondering his future in the league after dealing with yet another physical setback -- this time an ankle injury suffered early in his first season with the Cavs.
Cavs star LeBron James said prior to Saturday's game that he did not feel Rose owed the organization regarding his future at this time.
"Whenever he's ready to tell us or whatever, we're ready for that," James said. "You don't ever fast-track someone's process of what they may be going through. When they're ready to talk about it or ready to bring it to the forefront, as his teammates, we'll be ready for it.
"I don't know what the organization's stand on that is. That's different. From us as players, we don't need an answer from him. We want him to be as great as he can be, off the floor first before he even thinks about being on the floor."
James admitted he hasn't spoken to Rose in several weeks.
"We haven't talked to him since before he left," James said.
Rose, 29, became the youngest MVP in league history at age 22 during his 2010-11 campaign with the Chicago Bulls. His career hasn't been the same since tearing the ACL in his left knee during the first game of the 2012 Eastern Conference playoffs.
He is averaging 14.3 points a game this season for the Cavs, but his playing time is expected to decrease significantly when injured point guard Isaiah Thomas returns to the lineup.