Washington (CNN) The attorney for the porn star who claims to have slept with Donald Trump told CNN's "New Day" on Monday to expect more evidence that suggests Trump knew about the hush agreement his client now argues is invalid.

Michael Avenatti, the attorney for Stormy Daniels, said new evidence will likely be brought forward "over the next few weeks and months" that will help prove Trump was aware of a $130,000 hush agreement drawn up by Trump's personal lawyer, Michael Cohen, and executed just before the 2016 election.

"It is just the beginning," Avenatti said on "New Day." "We have a whole host of evidence. This is not going away. And Mr. Cohen better come clean for the American people, and they better do it quickly."

Avenatti said on NBC's "Today" later Monday morning that Daniels is prepared to share "intimate details" about Trump.

"She can describe his genitalia, she can describe various conversations that they had that leave no doubt as to whether this woman is telling the truth," he added.

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