Sen. Jeff Flake during an interview on Monday said he wants more than just a superficial probe into allegations that Supreme Court nominee Brett Kavanaugh has sexually assaulted a woman and exposed himself to another.

“ ‘It does no good to have an investigation that just gives us more cover, for example. We actually need to find out what we can find out. And we have to realize that we may not be able to find out everything that happened.’ ”

The Arizona Republican’s comments, made during a Forbes Under 30 Summit, come days after the senator played the key role in forcing a supplemental background investigation by the FBI of Kavanaugh.

Last week, Christine Blasey Ford testified that the Supreme Court nominee assaulted her at a boozy gathering in high school, when they were both teenagers living in a Washington, D.C.-area suburb. Kavanaugh adamantly denied the allegation.

Flake dramatically on Friday said he would not be willing to vote in favor of Kavanaugh without an FBI investigation.

On Monday, during a news conference in the Rose Garden to discuss the revamped North American Free Trade Agreement, President Donald Trump said he wants a “comprehensive” investigation into Kavanaugh, but also said the probe should have limits and be done quickly. Later, reports from The New York Times and NBC News indicated that the White House authorized the FBI to expand its investigation into anyone it deems necessary as long as the probe ends in a week.

Trump also said he is open to dropping his support for Kavanaugh contingent on the FBI probe.

Sen. Mitch McConnell, the Kentucky Republican Majority Leader, is aiming to vote on Judge Kavanaugh’s nomination by week’s end. With a Republican majority of 51-49, Kavanaugh can afford no more than one GOP defection.

Flake is expected to retire after his Senate term and has expressed interest in running for president in 2020. Flake said that he doesn’t see himself running for president but said he hopes that “somebody else runs in the Republican primary.”