An MRI exam on Monday revealed a small muscle tear in Hill's hip, a source said.
Hill has been a vital inside presence for the Lakers, averaging 6.7 points and 5.7 rebounds.
[Related: Heat eye 'Birdman' Andersen, sources say]
With Howard, Gasol and Hill sidelined for the immediate future, the Lakers are embarking on four games in six nights, beginning with back-to-backs against Houston and San Antonio on Tuesday and Wednesday.
Hill, 25, signed a two-year extension worth $8 million to stay with the Lakers over the summer. He joined Los Angeles in a trade from Houston last season.
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