Lindsay Lohan (Stephen Dunn/Getty Images)

(CBS) Lindsay Lohan is reportedly under investigation in the possible theft of a pricey "one of a kind" necklace.

"Law enforcement sources tell RadarOnline.com that Lindsay is suspected to have stolen a high-end piece of jewelry, most likely a necklace," Dylan Howard Sr., executive editor of the celebrity gossip website, told CBS News' "The Early Show."

According to the Los Angeles Times, the necklace is a "one of a kind" piece of jewelry, made of gold and semiprecious stones and valued at $2,500.

The Los Angeles Police Department reportedly have store surveillance video to support their claim.

"As we understand it," Howard says, "police have in their possession video they believe forms a very powerful piece of evidence in this case - video that shows Lindsay Lohan wearing the necklace in question."

Police have requested a search warrant for Lohan's new home in Venice Beach, Calif., according to the reports.

The Los Angeles Times says that once detectives began preparing that warrant, a Lohan associate tur ned the necklace over to them.

The 24-year-old is still on probation, and has been warned she could be sentenced to six months jail time for any violation.

Exactly one month ago today, Lohan checked out of the Betty Ford Center after 90 days in court-ordered rehab.

Even at the clinic, her alleged behavior threatened to land her back in jail: An employee, Dawn Holland, claimed Lohan shoved her during an argument.

At the moment, Lohan's next scheduled court date is Feb. 25.