The nominee vehemently denied the woman's claims, as well as allegations levied by Christine Blasey Ford, who claimed he sexually assaulted her at a separate party when they were both in high school.
"I can still see his face, and his hips coming forward, like when you pull up your trousers", she was quoted as saying by the New Yorker.
This comes as Kavanaugh is set to testify once again before lawmakers on Thursday on the allegations against him.
Sanders also appeared in an interview on Fox News and blamed Democrats for how they've handled Kavanaugh's confirmation process.
McConnell said that the committee was meeting Americans' expectations in treating Ford's allegations "seriously" and addressing them "promptly".
President Donald Trump and most Senate Republicans have said an FBI investigation isn't needed.
"A classmate of Ramirez's, who declined to be identified because of the partisan battle over Kavanaugh's nomination, said that another student told him about the incident either on the night of the party or in the next day or two".
"The second accuser has nothing", Mr. Trump told reporters after his speech to the U.N.in NY. "Oh gee, lets not make him a Supreme Court judge because of that". But other outlets like the New York Times refused to report it because her account could not be corroborated.
Republicans are up in arms about the sexual assault allegations now dogging Supreme Court nominee Brett Kavanaugh, and no one is more infuriated than Senate Majority Leader Mitch McConnell. With the GOP's Senate control hanging on a razor-thin 51-49 margin, defections by any two Republican senators would seal his fate if all Democrats vote "no". A spokeswoman for Murkowski did not immediately respond to a HuffPost request for comment.
Ramirez was reluctant at first to speak publicly "partly because her memories contained gaps because she had been drinking at the time of the alleged incident", The New Yorker reported. In high school I think all of us have done things we look back on in high school and cringe a bit.
"This is America we're talking about".
"For people to come out of the woodwork from 36 years ago, and 30 years ago and never mention it-all of a sudden, it happens", Trump said.
Trump gave this assessment of Kavanaugh's Fox News interview: "He was so truthful".
"Even in the Anita Hill hearing, we had dozens of witnesses that came forward and were allowed to testify". "No one is trying to hide from this.in fact, Brett Kavanaugh has been leaning in".
Some Democratic senators running for re-election in states where Trump is popular have not yet announced their intentions.
Mr Kavanaugh denies both allegations which have surfaced since he was nominated for the body that has the ultimate say on issues such as abortion and same-sex marriage.
Any new nominee to the Supreme Court will likely not be confirmed in time for the November 6 USA midterm elections. He has also said that the absence of a note on his 1982 calendar about the party at which he allegedly assaulted Blasey Ford backed up his denial.
Debbie Ramirez has asked for an FBI investigation into Kavanaugh, alleging that he exposed himself to her at a college party in the 1980s. Talking Points Memo notes that Trump was at United Nations headquarters in NY with the president of Colombia, Ivan Marquez, when he said, "As the president of a great country, Colombia, you must say, 'How is this possible?' Thirty-six years ago and nobody ever knew about it, nobody ever heard about it?"