Our sources say, when Lindsay was in the hospital getting checked out after the accident, cops from the Santa Monica Police Dept. paid a visit. Lindsay told police she was a passenger in the Porsche and her assistant was driving. But the lie didn't stick because later Lindsay's assistant told police Lindsay was behind the wheel.

We're told police are writing up a report that will include Lindsay's lie. It's a crime to provide false info to a police officer. In addition, lying to police could trigger a probation violation in her shoplifting case, which means she faces the possibility of jail on 2 fronts.