A final vote on whether Judge Kavanaugh will join the nine-member panel is scheduled for Saturday.
Another key Republican senator, Susan Collins, a moderate from ME, voted in favour of Judge Kavanaugh on Friday.
Murkowski, the only Republican to vote against advancing Kavanaugh's nomination during Friday's cloture vote, made clear that while her final vote will be recorded as "present" she remains opposed to confirming the nominee.
Following Friday's vote, Mr Trump tweeted that he was "very proud".
But she said the Federal Bureau of Investigation had found no corroborating evidence from witnesses whose names Ms Ford had provided. That reflected Democrats' lasting umbrage over Republicans' 2016 refusal to even consider Merrick Garland, President Barack Obama's nominee to replace the late Antonin Scalia.
Vice President Mike Pence planned to be available on Saturday in case his tie-breaking vote was needed.
Christine Blasey Ford testifies during the Senate Judiciary Committee hearing on the nomination of Brett M. Kavanaugh to be an associate justice of the Supreme Court of the United States, on Capitol Hill in Washington, on September 27, 2018. "I would say if we're talking about the Supreme Court and Judge Kavanaugh, I think he's highly qualified for the Supreme Court", Mrs. Trump said while speaking to reporters in Egypt during a solo worldwide trip to Africa.
In another development, more than 2,400 law professors had signed on a letter sent to the Senate on Thursday, saying Kavanaugh lacks judicial temperament and thus is disqualified from sitting on the nation's highest court, according to a report of The Washington Post. That rare procedural maneuver left Kavanaugh with the same two-vote margin he'd have had if Murkowski and Daines had both voted.
"If young boys behave well and with respect, they have nothing to worry about", Grossi said. That roll call will end a contest fought against the backdrop of the #MeToo movement and Trump's unyielding support of his nominee. A formal investiture ceremony will take place at a later date, the Supreme Court also said. However, some Republicans were concerned that Flake would change his mind, since he had called for a delay in the vote on Kavanaugh's confirmation to allow the FBI to conduct a brief investigation into the allegations against the judge.
Grossi said she wants to believe Flake is a good man and that he was telling the truth when he said he found Kavanaugh's accuser, Christine Blasey Ford, to be credible.
On the other side, Senate Democratic leader Chuck Schumer of NY called the fight "a sorry epilogue to the brazen theft of Justice Scalia's seat".
Both he and Collins attempted to express a belief that Dr. Blasey Ford was assaulted, but not by Kavanaugh. But Collins also spent much of her remarks discussing issues other than the allegations made by three women, including the nominee's views on the use of the precedent set forth by past Supreme Court cases such as Roe v. Wade.