She said in an interview that she and Farrow last teamed up in May to produce a story about sexual harassment allegations against Eric Schneiderman, the Democratic attorney general of NY and a political foe of Trump.
Kavanaugh is set to testify before the Senate Judiciary Committee on Thursday following testimony from another accuser, Christine Blasey Ford, who claims Kavanaugh assaulted her during a high school party in the early 1980s.
Separately, Michael Avenatti, the lawyer best known for representing adult film star Stephanie Clifford, who says she had an affair with Donald Trump before he was elected president, said on Twitter that he represents a woman "with credible information regarding Judge Kavanaugh".
Trump returned to Kavanaugh later Monday after signing a new trade deal with South Korea.
The statement from Ford's lawyers noted that she would still testify even though "important procedural and logistical issues remain unresolved" and expressed dissatisfaction that the committee does not plan to subpoena Mark Judge, who Ford said was in the room when Kavanaugh allegedly groped her and tried to remove her clothes during a party in their high school years.
Kavanaugh has denied the new charge and called it "a smear, plain and simple".
Sen. Dianne Feinstein of California, the ranking Democrat on the Judiciary Committee, called Sunday night for the "immediate postponement" of any further action on Kavanaugh's nomination.
Kavanaugh denied the allegation under oath and under penalty of felony shortly after the accusation was made public.
The Kentucky Republican said Democrats "signaled for months" that they would put on "whatever performance the far-left commanded" as part of their "resistance" campaign against President Trump and the GOP.
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"As with any witness who comes before the Senate, the Senate Judiciary Committee can not hand over its constitutional duties to attorneys for outside witnesses", Mike Davis, Grassley's top nominations counsel, wrote in an email exchange with Ford's lawyers obtained by The Associated Press.
A White House spokeswoman says the administration stands by the nominee, labelling the allegation "the latest in coordinated smear campaign by the Democrats created to tear a good man down". "These are highly unsubstantiated statements from people represented by lawyers", he said. In addition, some of us knew Debbie long after Yale, and she never described this incident until Brett's Supreme Court nomination was pending.
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Blasey and Kavanaugh are scheduled to testify before the Senate Judiciary Committee about Blasey's accusations on Thursday.
A participant in that email exchange was one of the individuals mentioned in the New Yorker piece, Mayer said - a classmate who declined to be named but who said that he recalls hearing about the Ramirez incident at the time it happened.
The magazine said it had not found eyewitnesses to confirm that Mr Kavanaugh was at the party.
Senator Orrin Hatch, a Republican member of the committee, blamed Democrats for the new allegation.
The vice president says the way that some Democrats have conducted themselves during the confirmation process "is a disgrace and a disservice to the Senate and the American people". In the letter, Ford claims she was "physically and sexually assaulted" by Kavanaugh and that she received medical treatment as a result.
Kavanaugh will also address the committee on Thursday, the newspapers report.