Her mother Dina Lohan said: "She's staying in Los Angeles and planning a quiet birthday dinner.
"It will be very low key with family and close friends. And then she plans to return to her community service right away on Monday ."
Speaking to the New York Daily News newspaper, she added: "Hopefully, she'll get back to New York soon to celebrate with her grandmother, who's 85 and doesn't really like to fly. But there's no party in the Hamptons."
Lindsay was sentenced to 480 hours of community service and 120 days in jail after stealing the necklace, but
she was granted house arrest at her home in Venice Beach, California, due to prison overcrowding and because she is a non-violent offender.
Her lawyer Shawn Holley recently insisted the decision to spare the actress jail time was "fair".
She said: "Anyone with her background would have gotten house arrest, she didn't get a special deal. I worried perception would harm her. But everyone - the judge, the courts - were professional, so it was fair."