The FBI's investigation into sexual assault allegations against Supreme Court nominee Brett Kavanaugh could conclude as soon as Tuesday night or Wednesday morning, The Wall Street Journal reported.

The Journal, citing Republican aides on Capitol Hill and another personal familiar with the probe, reported that the expectation is that the FBI could finish well before the end-of-week deadline it has been provided.

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On Monday, the White House gave authorization to the FBI to interview anyone thought to be appropriate in its investigation of Kavanaugh.

Agents in the bureau had interviewed at least four key people as part of its investigation, the Journal also reported.

Kavanaugh and Christine Blasey Ford testified before the Senate Judiciary Committee last week regarding Ford's claims that Kavanaugh sexually assaulted her at a high school party in the 1980s.

Kavanaugh has fiercely denied the accusation. He's also aggressively pushed back against sexual misconduct claims from two other women, Deborah Ramirez and Julie Swetnick.

A Senate vote on Kavanaugh's confirmation has been delayed to allow time for the FBI to conduct its investigation.

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellPelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Senate GOP aims to confirm Trump court pick by Oct. 29: report Trump argues full Supreme Court needed to settle potential election disputes MORE (R-Ky.) has said that a vote on Kavanaugh would take place this week. He also said Tuesday that a report from the FBI about its investigation was expected "soon."

"We'll get an FBI report soon. It will be made available to each senator and only senators will be allowed to look at it," McConnell told reporters.