She claims she met the president at the Playboy Mansion 10 years ago and began an affair with the then-reality star.
"Russian Roulette: The Inside Story of Putin's War on America and the Election of Donald Trump" was published this week.
Stormy Daniels Offers to Pay Back $130,000 'Hush Money,' Leaving Her Free to Talk About Alleged Trump Affair
The adult film actress offered to send the money via wire transfer in a letter to the president's legal team.
The porn star, whose real name is Stephanie Clifford, claimed in the suit that Trump never signed the non-disclosure agreement that keeps her from speaking about their reported year-long tryst.