Anthony sprained his left ankle in the Knicks' 103-98 win over the Orlando Magic on Monday. Anthony finished with 19 points and three rebounds against the Magic.
The Knicks will also be without guard Raymond Felton, who strained his right groin against Orlando and is listed as day-to-day.
"We got to weigh it out," head coach Mike Woodson said Tuesday. "He came in and got treatment, and he will get treatment probably in the evening and then tomorrow when he wakes up and comes in, we will have to assess it at that time."