Republicans had vowed to press ahead with the confirmation amid uncertainty over whether the accuser would testify.
Kavanaugh has had a relatively smooth confirmation track until the allegations against him were reported last week.
Senate Judiciary Committee chairman Chuck Grassley welcomed Prof Ford's offer.
In the call later Thursday, Katz asked the committee to subpoena Mark Judge, whom Ford has named as the other teen in the room at the time.
The confirmation fight has unfolded just weeks before November 6 congressional elections in which Democrats are seeking to take control of Congress from Trump's fellow Republicans.
The disturbing accusations threw a wrench into Kavanaugh's confirmation to replace Anthony Kennedy on the Supreme Court, which initially appeared to be a slam dunk for Republicans. "Since the moment I first heard this allegation, I have categorically and unequivocally denied it". "I had no idea that I would now have to go to the specifics and defend it before 50 cable channels and have my face spread all over MSNBC news and Twitter".
Committee Republicans have planned for only Kavanaugh and Ford to testify, but Democrats want other witnesses, too.
The California psychology lecturer's legal team emailed the panel's staff on Thursday.
Lisa Banks, one of Ford's lawyers, said in a statement to CNN on Wednesday that Ford and her family had received threats, which forced them to leave their home.
That now means that Ford is almost certain to tell her story publicly sometime next week.
Ford's lawyers continue to say that they want a full FBI investigation to take place before Ford will testify.
As it turns out, it's not true that the FBI doesn't do investigations like this. Over 50 people were arrested at Senate offices on Capitol Hill today while demonstrating against Kavanaugh.
Senator Dean Heller, a Nevada Republican, sounded bullish about the prospects of confirming the nominee, who would be expected to bring a more conservative tilt to America's highest court.
The Senate is narrowly controlled by Republicans, who have embraced the idea of a quick vote on Kavanaugh's nomination if Ford does not to testify.
Late Thursday afternoon, graduates of the all girls Holton-Arms School delivered a letter of support for Ford signed by more than 1,000 alumnae to the congressional office of West Virginia Republican Sen. Back then, the Federal Bureau of Investigation report into Hill's allegations of sexual harassment against now-Justice Clarence Thomas was finished on September 26, 1991 - three days after its inquiry began, according to a Washington Post report at the time.
Prof Ford earlier declined the Senate's offer to testify unless the FBI began investigating the judge. Is that the reaction of an innocent person?
In appearances on ABC's Good Morning America and PBS Newshour, Hill also discussed the need for a non-partisan body with expertise in investigating sexual assault claims to reach its own conclusions about the accusations against Kavanaugh and why the American people deserve to see a thorough examination into Blasey Ford's claims.
The timetable brought cries of protest from Democrats, who have called on the FBI to investigate the allegations made by Christine Blasey Ford, a professor from California, and to expand the number of witnesses who would be called beyond Ford and Kavanaugh.
At the end of the post, Ruyak said "the story that this woman is telling is one that I know was repeated dozens of times in my 4 years at Prep", but later clarified that he did not attend the high school at the same time as Ford or Kavanaugh.