On the front end of back-to-back games in New York, James will be held out with left ankle soreness.
Davis is resting with a right foot stress injury after playing in the Lakers' past two games. He missed the previous 20 games because of the injury.
James needs 117 more points to pass Kareem Abdul-Jabbar for No. 1 on the NBA's all-time scoring list.
Los Angeles will take on the New York Knicks at Madison Square Garden on Tuesday night.