Paul is officially listed as day to day by the Clippers. The five-time All-Star injured his knee with 54 seconds left in the Clippers' 104-101 loss to the Orlando Magic on Saturday when he collided with Orlando guard J.J. Redick.
"He feels a lot better today," Clippers coach Vinny Del Negro told the team's official website. "He's gotten great therapy. But we'll take it a day a time."
Paul will be a game-time decision for Thursday's game in Minnesota.
Clippers guard Eric Bledsoe once again started in place of Paul. Bledsoe made his first start of the season against the Memphis Grizzlies on Monday and finished with 14 points, four assists and three rebounds in the Clippers' 99-73 victory.
The 26-point victory was the largest road win for the Clippers this season and the largest the Clippers have had against the Grizzlies franchise.
"I'll be right there on the bench just like [Chauncey Billups], just like when I missed a couple of games last year," Paul said Monday. "There for vocal [support] and tell guys what I see. I think it will be huge for me and Chauncey to be there for [Bledsoe]."
Paul leads the NBA with 386 assists and is averaging 9.7 assists per game, the league's second best mark. He also leads the league with 97 steals and is averaging 2.62 steals per game. In his four games before the Memphis game, he had 54 assists.
Bledsoe shined as a starting point guard in the preseason while Paul recovered from offseason thumb surgery. Bledsoe had 25 points, eight rebounds and six assists, including a game-tying layup with 3.1 seconds left against the Denver Nuggets, and had 22 points, nine assists and 11 steals against the Los Angeles Lakers. He picked up where he left in his first start of the season against Memphis.
"I did what I do," Bledsoe said. "Come in, get blocks and get my teammates going, and play my type of game."