Smyth then added: "Personally speaking, I have known Brett Kavanaugh since high school and I know him to be a person of great integrity, a great friend, and I have never witnessed any improper conduct by Brett Kavanaugh towards women".
The letter says Ford "accepts" the committee's request that in the coming week she would "provide her first-hand knowledge of Brett Kavanaugh's sexual misconduct".
Kavanaugh, who strongly denies the assault allegation, has said he wishes to testify as soon as possible to clear his name.
The aggressive stance reflected his fear that time is running out to get his hand-picked conservative judge confirmed - thereby tilting the Supreme Court firmly to the right for years to come - before November elections when Republicans risk losing control of Congress.
Grassley had set a Friday night deadline for Ford to agree to the committee's latest terms for her appearance. Kavanaugh has said he wanted to testify before the committee to refute the allegation, and Ford's attorneys have told the committee that she has accepted their request for testimony.
In a statement provided to the committee, her lawyer said, "Simply put, Ms. Keyser does not know Mr. Kavanaugh and she has no recollection of ever being at a party or gathering where he was present, with, or without, Dr. Ford". Ford accused Kavanaugh of assaulting her 36 years ago when the two were in high school.
Republicans, who hold a paper-thin majority in the Senate, can ill afford defections if Kavanaugh is to be approved. I want to hear her. "And by the way, women are for that more than anyone would understand".
Ford's lawyers say the committee has not indicated when they will respond, but said the remaining "procedural and logistical issues" will "not impede the hearing taking place".
Debra Katz, one of Ford's attorneys, noted that her client has said she didn't share her story with anyone for years.
Susan Collins - a Republican who sits on the Judiciary Committee - said she was "appalled" by Trump's tweet, pointing out that incidents of sexual assault were known to be chronically under-reported. Republican committee staff and Ford's lawyers had reached a stalemate in negotiations over the details of the testimony.
"The imposition of aggressive and artificial deadlines regarding the date and conditions of any hearing has created tremendous and unwarranted anxiety and stress on Dr Ford", Katz wrote in an email to the committee.
"I will listen if she does". "But, with all of that being said, we want to go through the process".
Ford, a research psychologist at Palo Alto University in California, agreed to testify before the panel on Thursday and continue ironing out the details Sunday.
Ford alleges Kavanaugh assaulted her at a party when they were teens.
"I have not communicated at all with [White House counsel] Donald McGahn or anyone at the White House, or Judge Kavanaugh, about the topic of the Twitter thread", Ed Whelan said in a brief interview with The Washington Post.
But some Republicans believe the agreement to appear, sent just minutes before a 2:30 p.m. deadline set by Chairman Charles Grassley, is a smokescreen to delay a vote on the nominee.
"We reserve the option to have female staff attorneys, who are sensitive to the particulars of Dr Ford's allegations and are experienced investigators, question both witnesses", the letter said.