Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellTrump 'no longer angry' at Romney because of Supreme Court stance On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline The Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power MORE (R-Ky.) said on Tuesday that the Senate will confirm Brett Kavanaugh to the Supreme Court even as President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE's pick currently lacks the support needed.

Asked if he had the votes to confirm Kavanaugh, McConnell told reporters that he believed the nominee would be approved to succeed former Justice Anthony Kennedy.

“We’re going to be moving forward. I’m confident we’re going to win, confident that he’ll be confirmed in the very near future,” McConnell told reporters.

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McConnell's comments come as two sexual misconduct allegations have thrown Kavanaugh's nomination into chaos.

Kavanaugh is scheduled to testify on Thursday before the Senate Judiciary Committee alongside Christine Blasey Ford, who has accused Kavanaugh of holding her down on a bed and trying to remove her clothing during a high school party in the early 1980s.

A second woman, Deborah Ramirez, says Kavanaugh exposed himself to her when they were at Yale, resulting in her touching his genitals without her consent.

Kavanaugh has denied the allegations from both women.

He remains short of the simple majority needed to be confirmed. A group of GOP swing votes, including Sens. Susan Collins Susan Margaret CollinsThe Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power Billionaire who donated to Trump in 2016 donates to Biden Credit union group to spend million on Senate, House races MORE (Maine) and Lisa Murkowski Lisa Ann MurkowskiOVERNIGHT ENERGY: House passes sweeping clean energy bill | Pebble Mine CEO resigns over secretly recorded comments about government officials | Corporations roll out climate goals amid growing pressure to deliver The Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Abortion stirs GOP tensions in Supreme Court fight MORE (Alaska), are expected to wait until after Thursday to make their decision.

McConnell did not specify when Kavanaugh's nomination will come to the Senate floor, except that they would take it up in the "near future."

But senators signaled on Tuesday that the Senate could take up the nomination as soon as next week, though they stressed that the situation remains fluid.

If the Judiciary Committee votes on Kavanaugh's nomination on Friday, the Senate could try to wrap up the nomination as soon as next week.

Sen. John Cornyn John CornynQuinnipiac polls show Trump leading Biden in Texas, deadlocked race in Ohio The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight MORE (R-Texas) told reporters on Tuesday that he hopes the committee votes on Friday and predicted the Senate will be in session through the weekend to run out the procedural clock on Kavanaugh.

Judiciary Committee Chairman Sen. Chuck Grassley Charles (Chuck) Ernest GrassleyGOP lawmakers distance themselves from Trump comments on transfer of power The Hill's 12:30 Report: Ginsburg lies in repose Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Iowa) has not announced a vote on Kavanaugh's nomination. He would need to issue notice on the vote Tuesday in order for it to take place on Friday.