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Actress Lindsay Lohan is reportedly being investigated for a possible theft of a $5,000 necklace.

A Los Angeles judge is expected to issue a search warrant for police to find the piece of jewellery in the star's Venice Beach home, reports aceshowbiz.com.

"Lindsay is being accused of stealing high-end jewellery, including a necklace," said one law enforcement source. "A search warrant was requested Tuesday at the Airport Court to search Lindsay's house for the item of jewellery in question."

Lohan was spotted wearing the necklace while visiting a store.

"Lindsay has been photographed and there is video of her wearing the jewellery she is accused of stealing," the source added.