(CNN) The lawyer representing the porn star Stormy Daniels says six additional women have come forward alleging sexual relationships with President Donald Trump -- including some he says who also claim to have nondisclosure agreements.

"We've been approached by six separate women who have claimed to have similar stories to that of my client," Michael Avenatti told CNN's "New Day" Friday morning. "Two of them -- at least two have (nondisclosure agreements). We're in the very early stages of vetting those stories."

CNN's Chris Cuomo asked, "Do these women, in terms of what their allegations are at this point before you vet them, do they all involve the President of the United States?

"Yes," Avenatti replied.

He did not provide the names of any women nor any details of the circumstances of their alleged involvement with Trump. Avenatti also told Cuomo his legal team is "not vouching for these stories" and said it was possible he won't represent the women.

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