The letter said Professor Ford "accepts" the committee's request that in the coming week she would "provide her first-hand knowledge of Brett Kavanaugh's sexual misconduct".
The lawyers said they made "important progress" in a morning call with Senate Judiciary Committee staff members and agreed to the hearing even though the committee refused to subpoena Mark Judge, who Ford said witnessed the attack at a high school party, as well as others who she said were present.
In requesting another day to decide, Ford lawyer Debra Katz late Friday called Grassley's original deadline "arbitrary" and said its "sole objective is to bully Dr. Ford and deprive her of the ability to make a considered decision that has life-altering implications for her and her family".
"Unless there's something more, no I'm not going to ruin Judge Kavanaugh's life over this, But she should come forward, she should have her say, she will be respectfully treated".
Democrats have called for the vote on his confirmation to the nation's highest court to be delayed, pending a full FBI investigation, something that Republicans have dismissed as unnecessary.
The Republican lawmaker said Blasey's allegation that Kavanaugh sexually assaulted her when they were teenagers wasn't credible because she couldn't remember all the details 35 years later, the Des Moines Register reported.
Ford says that Kavanaugh was drunk at a house party in about 1982, and that he pulled her into a bedroom then pinned her down on a bed, tried to remove her clothes and put his hand over her mouth to stop her from screaming.
If Ford doesn't testify on Monday, the public hearing would be canceled.
"In the very near future, Judge Kavanaugh will be on the Supreme Court", McConnell said at the Values Voter Summit Friday. "I have never done anything like what the accuser describes -- to her or to anyone".
The lawyers added that "they still wanted to negotiate the terms of her appearance".
Katz had called Grassley's original deadline "arbitrary" and said its "sole objective is to bully Dr. Ford and deprive her of the ability to make a considered decision that has life-altering implications for her and her family".
After several days of maintaining a relatively neutral posture, Trump on Friday declared that Ford could not be believed.
The person says that lawyers for Christine Blasey Ford and bipartisan representatives of the committee came to the tentative agreement Saturday.
Trump mused to confidants that the "fake" attacks against his nominee were meant to undermine his presidency, according to a White House official and a Republican close to the White House.
"We have to fight for him, not anxious about the other side", he said.
But now? The idea that one of the "other two boys" turned out to be not only a woman, but someone Ford has known all her life is a bit much to swallow.
Republicans have accused Democrats of sitting on the doctor's allegation during the hearings and looking to delay the vote until after the midterms in November.
Ford's lawyers said Thursday night that Ford wouldn't be able to get to Washington before next Thursday because of all that her family is dealing with, according to a Senate Democratic leadership aide.
In an email sent to the committee at 2:17 p.m. Saturday, attorneys Debra Katz and Lisa Banks asked staff for Senate Judiciary Committee Chairman Charles Grassley, R-Iowa, to set up a phone conversation later Saturday to work out specifics.