Last week, Kavanaugh, Republican president Donald Trump's second nominee for a lifetime appointment to the nation's highest court, said he "categorically and unequivocally" denies the allegations.
Ford has accused Kavanaugh, a conservative appeals court judge chosen by Trump for a lifetime job on the top US court, of trying to attack her and remove her clothing while drunk in 1982 in a Maryland suburb outside Washington when they were students in different high schools.
Sen. Chuck Grassley, R-Iowa, who chairs the judiciary committee, said in a statement Monday that he's looking for a way that lawmakers can hear from Kavanaugh's accuser, Christine Blasey Ford, "in an appropriate, precedented, and respectful manner".
Ford said in the interview with the newspaper that Kavanaugh threw her down on a bed, grinding his body against hers and trying to pull off her one-piece bathing suit and the clothing she was wearing over it. Ford said that when she tried to scream, he put his hand over her mouth.
Kavanaugh issued another denial Monday and said he has never done anything like the allegation.
Conway, who said she had discussed the situation with Trump, said both Ford and Kavanaugh should testify, but made clear it was up to the Judiciary Committee. Christine Blasey Ford, a college professor who teaches clinical psychology at Palo Alto University, has identified herself in an exclusive interview with the Washington Post.
"She should be heard", Conway said on Fox TV.
A group of women who attended Holton-Arms have begun to circulate a letter of support for Ford. It causes them to question their value, it erodes their self-esteem, and it's one of the ultimate indignities that people experience in the workplace'. But some Republicans, not to mention Democrats, have expressed they want to hear from Ford first, and the Senate is out of session Wednesday for the Jewish holiday Yom Kippur. The teenage friend who allegedly broke up the encounter, Mark Judge, also denied the accusation, telling the Weekly Standard that it was "absolutely nuts". "I did not do this back in high school or at any time", Mr Kavanaugh said through the White House. "Doing this in a conference call, as opposed to her offer to come forward and say things publicly is certainly not fair".
"It is unfortunate that this allegation is being brought forth so late in the confirmation process, but Dr. Ford's allegation should be investigated", Hoeven said in a statement.
Republicans hold a slim 11-10 advantage on the Judiciary Committee and a 51-49 majority in the Senate.
Senate Democratic leader Chuck Schumer has already said that to push through a vote on Thursday would be an "insult" to American women.
After Kavanaugh was nominated to the Supreme Court, Ford wrote to her congresswoman, Anna G. Eshoo, which was then forwarded to Senator Dianne Feinstein. It does not appear the Senate Judiciary Committee is willing to allow that to happen. GOP Maine Sen. Susan Collins tweeted that she wanted Kavanaugh and Ford to both testify under oath to the committee, but when she was contacted Sunday by CNN she wouldn't say if the vote should be postponed.
The Senate Judiciary Committee is still scheduled to vote on Kavanaugh's nomination on Thursday, but that may be delayed, as both Ford and Kavanaugh have agreed to testify.
"She's willing to do whatever it takes to get her story forth", Katz told the Today show.
Feinstein issued a statement on Sunday afternoon in support of Ford and calling for the FBI to investigate the matter before the Senate advances Kavanaugh's nomination.
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