The attorney for the second woman to accuse Supreme Court nominee Brett Kavanaugh of sexual misconduct said Wednesday that the woman, Deborah Ramirez, is willing to testify before the Senate Judiciary Committee about the alleged incident.

"She would be willing to testify, but we can’t even talk to the Senate Judiciary Committee about what that would look like, and they certainly haven't invited her," attorney John Clune said on NBC's "Today."

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Clune, who told CNN on Tuesday night that Senate Republicans did not take part in a scheduled phone call that evening to discuss Ramirez's claims, reiterated his client's desire for an FBI investigation into her accusations.

Clune on Wednesday didn't rule out the possibility that Ramirez would testify without an FBI investigation.

"That’s a decision I’ll certainly let her make. I would be very concerned about doing that, but it wouldn’t surprise me if she would agree to do that," he said. "But we’ll wait to see if she actually gets that invitation and we’ll go from there."

Ramirez alleged in a The New Yorker story published Sunday that Kavanaugh exposed himself to her during a college party in the 1980s, then thrust his genitals in her face. She acknowledged that she had been drinking prior to the incident and had gaps in her memory.

The White House said Tuesday that it would be open to Ramirez testifying, but President TrumpDonald John TrumpLiz Cheney: 'Send her back' chant 'inappropriate' but not about race, gender Booker: Trump is 'worse than a racist' Top Democrat insists country hasn't moved on from Mueller MORE attacked the woman's credibility later that day, telling reporters she "has nothing."

Ramirez's claims came one week after Christine Blasey Ford went public with her allegation that Kavanaugh pinned her to a bed and groped her during a high school party in the 1980s.

Ford, who has also unsuccessfully requested an FBI investigation into her claim, is set to testify before the Senate Judiciary Committee on Thursday, along with Kavanaugh.

Kavanaugh has adamantly denied the claims from both women.