Watch: Stormy Daniels's Lawyer Michael Avenatti Spurns Settlement Talks After Filing Request to Depose Trump

Stormy Daniels attorney Michael Avenatti said in an interview with CBS This Morning that he and his client would consider a settlement in their lawsuit against President Donald Trump and attorney Michael Cohen —but both would prefer for "the truth to come out."

"I think we would consider it. I would converse with my client," the adult film star's lawyer said Wednesday. "It would depend on the terms of a settlement. But at this point, I don't see how the case gets resolved short of the truth coming out."

Avenatti's discussion of a potential settlement comes on the same day the attorney filed a formal request to depose Trump and Cohen about the $130,000 paid to Daniels in October 2016. The hush agreement was made in exchange for her silence about an alleged affair she had with the business mogul in 2006-2007.

"We're only getting started," Avenatti told CBS This Morning host Gayle King. He also accused Cohen of "thuggish behavior" and using "intimidation tactics" to "step on little people."

"Mr. Cohen and the president better be very careful what they come out and state regarding my client," said Avenatti, who has been going from talk show to talk show to discuss the case.

The legal brouhaha started after Daniels, whose real name is Stephanie Clifford, filed a suit against Cohen to invalidate her nondisclosure agreement, arguing that it's unenforceable because it was never signed by Trump. She previously went on 60 Minutes and spoke in detail about the alleged affair, which occurred after Trump married Melania.

Cohen, meanwhile, has maintained that the contract is valid. Despite using a Trump Organization email address to facilitate the $130,000 payment, Cohen claims that he was acting on his own and that the president was never involved in the payoff. Through his attorney, he also denied that he ever threatened or had someone threaten Daniels while she was in a parking garage with her child, a claim she made on 60 Minutes.

"Mr. Cohen had absolutely nothing whatsoever to do with any such person or incident, and does not even believe that any such person exists, or that such incident ever occurred," Cohen's attorney, Brent Blakely, said in a statement.

Daniels is one of several women who have spoken publicly about affairs with Trump. Avenatti, who has steadfastly rebuffed requests to release evidence of the affair with Daniels, has said six additional women have contacted him about a previous sexual relationship with the president.