Ford alleged that at this party, she was pushed into a bedroom and an inebriated Kavanaugh pinned her to a bed while his friend Mark Judge was watching and laughing.
Republican Senator Orrin Hatch said he spoke with Kavanaugh on Monday.
"I believe that Dr. Ford has a right to be heard, and I have confidence in Senator Grassley's work to properly investigate and take the appropriate next steps to ensure the process remains fair and all parties are heard", Ernst said.
Kavanaugh said he would be willing to talk to the committee to refute the allegations, according to a statement released by the White House on September 17. Last week he told the Weekly Standard he does not recall the incident.
In the interview, Ford says she didn't reveal what had happened until 2012, when she and her husband sought couples therapy.
MARTIN: And so far we haven't heard from Chuck Grassley, whether or not he is indeed going to invite Christine Blasey Ford or Brett Kavanaugh to testify publicly.
Sen. Lindsey Graham, R-S.C., said he was open to hearing from Ford, while resisting calls to delay the vote. Ford told the Post four boys at the party, but only two were in the room.
Trump picked Kavanaugh to replace the retired Justice Anthony Kennedy, a conservative who sometimes sided with the court's liberal wing.
The announcement, made under pressure from lawmakers to fully examine the new claims, will delay what had been a glide path toward confirmation for President Donald Trump's nominee.
"You and your staff scheduled a public hearing for her to testify at the same table as Judge Kavanaugh in front of two dozen US senators on national television to relive this traumatic and harrowing incident", Ford's legal team wrote to Grassley. The Post said Katz provided the paper with the results of the test, which was administered by a former Federal Bureau of Investigation agent.More news: Michael Jordan donating $2 million to Hurricane Florence relief
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"At the same time, we want to go through a process", Trump said. "So she has a great deal of credibility". September 4-7: The Senate Judiciary Committee holds contentious hearings on Kavanaugh in which the nominee was lauded by Republicans and faced with regular interruptions from protesters.
Amid the uproar, Republicans continued to express anger Monday that Ford's allegations did not surface until after Kavanaugh's confirmation hearings.
Democrats are insisting that the FBI handle the matter by reopening Kavanaugh's background investigation rather having committee staff make calls.
Feinstein was faced with an impossibly hard decision in how heavily to investigate Ford's claims, since the more she did, the more likely Ford's privacy would be compromised and her confidence betrayed. The letter's contents leaked last week and Ford identified herself in an interview with the Washington Post published on Sunday.
The New Yorker first reported a detailed account of the allegation on Friday.
California Democratic Rep. Anna Eshoo told CNN's "Erin Burnett OutFront" on Monday that she met with Ford in July for "at least an hour and a half" about the allegations.
Mr Kavanaugh had been on a smooth confirmation track, but the new allegations have distracted from that process. "I have never done anything like what the accuser describes-to her or to anyone", Kavanaugh said in a statement released by the White House.
While Democrats demanded a delay in a scheduled Thursday vote by the Senate Judiciary Committee on the nomination to allow the FBI to investigate, Senate Republicans struggled with how to proceed. Dianne Feinstein, D-Calif., before Thursday's scheduled vote. And he, too, said he is willing to speak to the Senate Judiciary Committee and answer any questions in whatever forum the committee deems appropriate.
A committee spokesman said late Sunday that Grassley was trying to arrange separate, follow-up phone calls with Kavanaugh and Ford, but just for aides to Grassley and Sen. The panel would also likely seek testimony from Judge, Kavanaugh's friend and classmate who Ford says jumped on top of her. Judge has denied that the incident happened.