Rose, who participated in practice on Monday, has missed three consecutive games, though it was initially due to right hamstring tendinitis before feeling soreness in his knee.
The 27-year-old was expected to play against the Toronto Raptors on Sunday but woke up with pain on the front of his leg so the team brought him in to rule out structural damage to his knee.
"I think more than anything, it was ruling something out with the soreness that he had," coach Fred Hoiberg said.
"We didn't do a lot of live activity today. So at this point, he'll be a game-time decision [Tuesday]."
Rose had missed only two games this season before the latest injury and is averaging 14.4 points and 5.1 assists in 32.7 minutes per game.
Hoiberg added: "Like we talked about yesterday, the hamstring feels a lot better. The swelling in the knee has gone down. He had a little bit of soreness and weakness when he did some of the testing before the game.
"So we took a cautious approach. [Tuesday], we'll see how he reacts overnight and then see how he is in the morning."