The justices did not comment on their order.
Jacque Hollander said in her suit that Brown raped her at gunpoint in 1988 while she was his publicist. She sought $106 million in damages.
A federal judge dismissed the suit in 2005, saying Hollander waited too long to file. An appeals court uphold the judge's order last year. Brown died on Dec. 25 at age 73.
The case is Hollander v. Brown, 06-1042.