Hill left the Lakers' game against the Knicks on Sunday and did not return. This season, the forward has averaged a career-high 12.3 points and eight rebounds per game.
Lakers coach Byron Scott told reporters after Sunday's game that Hill was unsure how he sustained the injury.
The Lakers, who have lost 10 of their past 11 games, are currently 13-35 and possess the fourth-worst record in the NBA. They play at the Milwaukee Bucks on Wednesday.
- Stanley Kay