It has been reported that papers filed in Manhattan's Surrogate's Court estimated the value of the 49-year-old designer's personal estate at nine million dollars (£5.5m). Ms Scott committed suicide on March 17 in New York.
The filing said her main asset was her Manhattan condominium worth about eight million dollars (£4.8m). Other items included her jewellery, clothing, household furnishings and cars.
A small, private funeral service was held for Ms Scott in Los Angeles on Tuesday.