Arizona Republican Senator Jeff Flake, who sits on the Senate Judiciary Committee, said Prof Ford's testimony should be heard.
On Monday, all 10 Senate Judiciary Committee Democrats called on the panel's Republican chairman to postpone this week's planned committee vote on Kavanaugh's nomination.
Feinstein acknowledged her knowledge of the accusation last week, but kept Ford's identity private until the Sunday Post article. Sen.
On Sunday Christine Blasey Ford, a research psychologist at Palo Alto University in Northern California, went public with allegations that Kavanaugh had tried to rape her while at a high school party. Ford has expressed a willingness to speak before the committee, as has Kavanaugh. "I did not do this back in high school or at any time", his statement said. He said that should happen after a thorough FBI investigation.
Last week, a CNN poll conducted by SSRS was released showing a split in those who want the Senate to confirm Kavanaugh to the Supreme Court - with 38% who said yes vote in favor and 39% who said no, don't vote in favor. The Minority withheld even the anonymous allegations for six weeks, only to later decide that they were serious enough to investigate on the eve of the committee vote, after the vetting process had been completed. Senate Republicans hold a 51-49 majority and can not afford two or more Republicans voting against Kavanaugh's nomination unless they pick up votes from Democrats.
Kavanaugh has denied the allegation, and both have said they would testify before Congress. As of Sunday afternoon, Senate Judiciary Committee Chairman Chuck Grassley meant to move forward with the committee vote as planned.
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On Monday a spokesperson for the former vice president said: "Vice President Biden believes Professor Ford deserves a fair and respectful hearing of her allegations, and that the Committee should undertake a thorough and non-partisan effort to get to the truth, wherever it leads". She said Judge Kavanaugh, who was then a 17-year-old student, climbed on her and tried to forcefully undress her. Ms. Blasey, who was also a teenager at the time, said she ran out of the house when she escaped his grasp.
"I've made it clear that I'm not comfortable moving ahead with the vote on Thursday if we have not heard her side of the story or explored this further", Flake told The Washington Post.
Blunt, a member of Senate leadership, has given full-throated support to Kavanaugh's nomination. But the allegations of sexual misconduct, particularly coming amid the #MeToo movement against sexual harassment, coupled with Ford's emergence could complicate matters, especially as key Republican senators, including Collins and Murkowski, are under enormous pressure from outside groups who want them to oppose Kavanaugh on grounds that as a justice he could vote to undercut the Roe v. Wade ruling legalizing abortion in the U.S.
She said Mr Kavanaugh and a friend had allegedly "corralled" her into a bedroom at a gathering.
Senate Democratic leader Chuck Schumer said: "Trying to rush this through on Thursday is an insult to the women of America and an insult to the majesty of the Supreme Court".
Responding to the latest developments in the Kavanaugh nomination, Foy had said, "It's disturbing that these uncorroborated allegations from more than 35 years ago, during high school, would surface on the eve of a committee vote".
The last-minute appearance of the sexual assault allegations echoed the tumultuous confirmation hearings of George H.W. Bush Supreme court nominee Clarence Thomas in 1991.