Reporters said she patted McConnell's shoulder before they went their separate ways.
A final confirmation vote is expected Saturday afternoon.
Even before the lurid sexual assault charges surfaced, Democrats in the Republican-controlled Senate were fighting hard to stop Kavanaugh, saying his conservative judicial philosophy could result in rolling back abortion rights, gay rights and protections for immigrants. Republican Lisa Murkowski (Alaska) voted not to send the nomination to the full Senate.
Senate Republicans, except for Lisa Murkowski, have stood by him in a move that could resonate, particularly with women voters, in the November 6 elections to determine control of the Senate and House of Representatives.
FILE - In this September 27, 2018 file photo, Supreme Court nominee Brett Kavanaugh arrives to testify before the Senate Judiciary Committee on Capitol Hill in Washington.
Yet Mr Kavanaugh's pathway to confirmation seemed unfettered until Ms Ford accused him of drunkenly sexually assaulting her in a locked bedroom at a 1982 high school gathering.
McConnell: Kavanaugh deserved an up-or-down vote
Democrats believe a backlash against the GOP from women voters could help deliver the House of Representatives. Not the heartfelt testimony of Christine Blasey Ford , who accused Kavanaugh of attempting to rape...
Protesters opposed to the appointment of Brett Kavanaugh to the US Supreme Court flocked to Washington on Saturday, and protests were scheduled as well in other cities across the country.
The senate is expected to confirm Kavanaugh to the Supreme Court on Saturday around 9pm United Kingdom time.
In the pivotal moment on Friday, Mrs Collins, perhaps the chamber's most moderate Republican, proclaimed her support for Mr Kavanaugh at the end of a Senate floor speech that lasted almost 45 minutes.
That would put the final tally at 51-49 in Kavanaugh's favor. And I think what you saw in the hearing was that Dr. Ford got a little confused and thought Sen. In his testimony, Kavanaugh said he could not answer questions about whether a president could pardon himself or whether a sitting president can be required to respond to a subpoena. But Manchin said little Thursday and Friday to indicate what his final vote would be, after studying the Federal Bureau of Investigation report addressing allegations of sexual misconduct leveled against the nominee.
For Kavanaugh to be defeated, two senators who voted to end debate on his nomination, effectively allowing it to proceed, would ultimately have to vote against him.
Sen. Susan Collins (R-ME) voted "Yes" on cloture and is a rumored "Yes" on the final vote.