U.S. District Judge Federico Moreno in Miami ruled Thursday that the 29-year-old celebrity socialite didn't live up to her contract when refusing interviews with publications in Russia and the United Kingdom.
Hilton's spokeswoman had no immediate comment.
Moreno preliminarily valued those lost opportunities at $160,000. But the judge wants more information about Hilton's contract before finalizing the amount. The investors initially wanted $8.3 million.
The judge's decision follows Hilton's arrest last weekend in Las Vegas on cocaine possession charges. Hilton told police the small amount of cocaine was not hers.