Ford, on the other hand, has demanded an Federal Bureau of Investigation inquiry before she testifies her charges at a US Senate hearing scheduled for next Monday.
The woman who has accused Supreme Court justice nominee Brett Kavanaugh of attempting to rape her decades ago has asked for the FBI to investigate her claims before she testifies to the Senate.
The Republican president said he wanted the Senate confirmation process to play out.
Her lawyer said that before her client goes to Congress, she wants an FBI investigation into Judge Kavanaugh.
"Monday is her opportunity", Senate Majority Leader Mitch McConnell, R-Ky., said Tuesday.
But Ford's lawyers say in a letter to Committee Chairman, Republican Chuck Grassley, that some of the senators on the committee "appear to have made up their minds" and believe Kavanaugh. All 10 Democrats on the Senate Judiciary Committee sent a letter on Tuesday to FBI Director Christopher Wray and White House counsel Don McGahn arguing that the FBI should conduct an investigation prior to a hearing. He denies the allegation.
Sen. Mazie Hirono, D-Hawaii, said, "I just want to say to the men of this country, 'Just shut up and step up.' Do the right thing for a change".
"If she shows up, that would be wonderful".
He added: "Hopefully the woman will come forward, state her case".
Professor Blasey Ford says Mr Kavanaugh pinned her on a bed and tried taking off her clothes during the high school party.
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Ford's lawyers say she has been subject to death threats as a result of her allegations against Kavanaugh. Grassley said on radio's "Hugh Hewitt Show".
The battle for confirmation comes just weeks before congressional elections on 6 November. The White House then "promptly directed the FBI to conduct a full, thorough and expeditious investigation", according to the statement.
Judge said on Tuesday he would not testify about the allegation and defended Kavanaugh.
A Reuters/Ipsos poll released on Wednesday showed a growing number of Americans opposing Kavanaugh's nomination. In the poll, conducted from September 11-17, 36 percent of USA adults surveyed did not want Kavanaugh on the Supreme Court, up 6 percentage points from a similar poll a month earlier, while 31 percent favored Kavanaugh's appointment. The university's president called Ford's decision to come forward courageous.
Criticism like that fed a Democratic narrative that the GOP's handling of Ford could jeopardize that party's election prospects in the age of #MeToo, the response to sexual abuse that has torched the careers prominent men.
She said she feared Kavanaugh might inadvertently kill her before she managed to flee.
"What about other witnesses like Kavanaugh's friend Mark Judge?". Judge has said through his attorney he remembers no such incident. Patrick Smyth wrote to Grassley and top committee Democrat Dianne Feinstein.
She said: "He was trying to attack me and remove my clothing".
In a statement issued on Friday, Hill said: "I have seen firsthand what happens when such a process is weaponised against an accuser, and no one should have to endure that again". She later deleted her account.