The 26-year-old actress, who has spent much of the last few months living in her home in New York, was said to have initially cooperated with producers and filmed a furniture-shopping segment last March, along with other footage at the house.
But once the renovations were completed, Lindsay allegedly stopped communicating with the show's team.
Producers are said to be planning to use other clips to cobble together a big reveal moment since Lindsay declined to take part.
The episode is scheduled to hit screens next week.
The troubled starlet - whose probation was revoked last month after she allegedly lied to police about being behind the wheel of her car during an accident in June - has had a difficult few months that also saw her receive $100,000 from her Scary Movie 5 co-star Charlie Sheen to help pay off her $233,904 tax bill.
Her father Michael Lohan blames her mother Dina for her financial problems.
He said: "Lindsay is losing all her belongings, with no resurrection of her career in sight.
"Maybe instead of checking into hotels and night clubs in London, mommy dearest and daughter should have checked into rehab together.
"Lindsay is in for a rude awakening when she goes to court, but I still pray she goes to rehab, not jail!"
- Bang! Showbiz
