Williams has been out since Jan. 7 with a rib fracture. Williams said he won't know his playing status for Monday's game until after Monday's shootaround.
Rondo, who left Saturday's game after taking a knee to the head in the first quarter, is still be evaluated by team doctors. He is averaging 8.7 points, 8.7 assists and 6.3 rebounds per game this season.
Scott cited a lack of practice time as to why he wants to keep Young and Black out of the game. Guard Wayne Ellington has been starting in place of Young.
The Lakers are 3-point underdogs.
It will be the third straight game Stoudemire has missed while dealing with an ankle sprain. A shin injury will cause Aldrich to miss his second straight game. Forward Jason Smith is expected to receive an increased role in Sunday's game.
Meanwhile, forward Travis Wear is dealing with a hip injury and is listed as questionable.
The Knicks are 3-point favorites.
Rubio has not played since November with a severe ankle sprain. LaVine missed Saturday's game with an ankle issue, while Williams has missed the last two games because of a hip injury.
Sullinger was reportedly stuck in traffic and was late to Sunday morning's walk-through. The Celtics are 4 1/2-point favorites.
It will be the third straight game Deng has missed while dealing with a calf injury. Coach Erik Spoelstra said Deng was close to returning, but has to be 100 percent before he returns. Forwards Danny Granger and James Ennis are expected to see an increased role.
The Heat are 3 1/2-point underdogs.
Carroll has missed the last two games while dealing with the injury. His next chance to play will be Monday at New Orleans.
Young and Dawkins will be eligible to play in Sunday's game against the Heat.
In 15 games for the Knicks, Early is averaging 4.5 points and 1.9 rebounds.