Davis is missing his second straight with a right shoulder sprain, but coach Monty Williams says he would still encourage Davis to play in Sunday's All-Star game in New York if he feels well enough.
Davis was injured when he lost his grip on the rim after an alley-oop dunk and fell hard to the court during Saturday night's loss to Chicago.
Anderson is also missing his second straight game with a sore right elbow.
Davis leads the Pelicans in three categories, averaging 24.5 points, 10.3 rebounds and 2.8 blocks per game.
Ryan Anderson averages 14.9 points per game.