Coach Frank Vogel said that Davis will have a minutes restriction of 28 minutes against the Celtics.
The Lakers also said veteran point guard and former Celtics star Rajon Rondo (finger) is available to play Monday night.
Walker alerted the team Friday night that his knee was bothering him, and he had an MRI on it Saturday that came back clear. But after sitting out against the Suns, he said Monday after participating in shootaround he expects to play.
Brown sat out each of the past two games with a right thumb sprain. He declined to speak at shootaround, but Celtics coach Brad Stevens said he expects Brown, who is averaging 20 points and 6.9 rebounds, to be available against the Lakers.
Davis suffered a bruised backside when he hit the floor hard on his tailbone area after trying to block a shot by the New York Knicks' Julius Randle on Jan. 7. He missed the rest of that game, which Los Angeles won 117-87.
The Lakers have gone 4-1 in Davis' absence.
Davis is averaging 27.1 points, 9.4 rebounds and 3.2 assists this season, his first with the Lakers.
ESPN's Tim Bontemps contributed to this report.