He added that he was willing to address the allegation in front of the Senate committee.
Judge Kavanaugh and Christine Blasey Ford, the woman who says he attacked her 36 years ago, will both be able to testify.
Committee chairman, Senator Chuck Grassley, said his office has reached out to Ford several times about the Monday hearing and has not yet heard back.
With November's midterm elections less than two months away, both sides signaled they would navigate Monday's scheduled Senate Judiciary Committee hearing cautiously.
Asked if he had offered to withdraw from the process, Trump snarled: "Next question".
If the Federal Bureau of Investigation doesn't investigate the allegation, Feinstein said, "I think it should be delayed".
Drew Angerer Getty Images
Kavanaugh, 53, has vehemently denied the accusation.
President Donald Trump called Bush to notify him of Kavanaugh's nomination to the country's highest court.
Trump again defended his nominee on Tuesday, calling him a "truly outstanding person" with an "unblemished record". He told reporters at the White House: "If it takes a little delay, it will take a little delay". "She should testify under oath and she should do it on Capitol Hill, but that's up to the Senate Judiciary Committee".
Hill endured a brutal assault on her personal reputation in hearings and in conservative media and the all-male Republicans on the committee ultimately backed Thomas. "There's a lot of things that I've done when I was a teenager that I'm certainly ashamed of and not proud of", he said.
Committee Democrats, already fiercely opposed to the nominee, wrote a letter to Mr Grassley objecting to the planned format of the hearing, which was announced yesterday, including having just Mr Kavanaugh and Ms Ford as witnesses.
While Sen. Dianne Feinstein (D-Calif.), the top Democrat on the committee, has been criticized for how she's handled the allegations, she also expressed disappointment in Republicans and the Trump administration for "failing to take even the most basic steps to investigate this matter".
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I had a number of posters on my bedroom wall growing up, one of them was a Barcelona poster. I know they will ask him for the shirt, but they shouldn't do it at halftime".
Kavanaugh has had a relatively smooth confirmation track until the allegations against him were reported last week.
Ford's story has not been corroborated, and many of Kavanaugh's former classmates are speaking out against these accusations. And I would surely hope she'd come Monday. She sent a letter to her congresswoman, Rep. Anna Eshoo, in July, which made its way to Sen.
A source close to Kavanaugh told Fox News Tuesday that the judge claims he does not know the accuser.
"The question of integrity and character and fitness", said Berenzweig.
Ford, a registered Democrat, is being represented by Washington attorney Debra Katz, known for her work with #MeToo accusers, the Washington Free Beacon reported.
Ford, who is a professor based in California, told the Washington Post that Kavanaugh pinned her down and attempted to remove her bathing suit, while covering her mouth as she tried to scream.
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Conway, one of the highest-ranking women in the West Wing, said she'd "spoken at length" with Trump about the allegations. Ford has said she is willing to testify, but not said whether she will participate in Monday's hearing.
Liberal senators sitting on the Senate Judiciary Committee are using this to call for a postponement of the final decision on Kavanaugh's nomination.
Grassley said details about how the hearing would be conducted had not been worked out, including parameters for panel members posing questions or the possibility that committee Republicans could choose a single questioner.
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There were many hits and misses when it cames to dresses, however the couples pretty much complimented one another at the Emmy's. Record-breaking fantasy epic Game of Thrones have won the Award for the best Drama series at the 2018 Emmy Awards , AFP reports.