Sen. Lindsey Graham Lindsey Olin GrahamSenate GOP aims to confirm Trump court pick by Oct. 29: report The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Senate GOP sees early Supreme Court vote as political booster shot MORE (R-S.C.) said on Monday that Attorney General William Barr Bill BarrProsecutor says no charges in Michigan toilet voting display Judge rules Snowden to give up millions from book, speeches The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy MORE told him during a phone call that he would be willing to testify before the Senate Judiciary Committee about special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE's Russia probe.

"I told him I'd like him to come before the committee, he said he'd be glad to come, just give him some time to figure out, you know, as soon as possible, but thoroughly vet the report and make sure we don't compromise anybody's security," Graham told reporters on Monday afternoon.

Graham added that Barr told him he would be speaking with Mueller about what should and should not be released publicly from the report, which the special counsel handed over to the Department of Justice late last week.

ADVERTISEMENT

The Justice Department didn't immediately respond to a request for comment on whether or not Barr had agreed to testify.

Graham said that Barr could wait until after a public version of Mueller's report was released before he appears before the Judiciary Committee, but reiterated that he wants him to testify publicly.

"Go ahead and wait until he goes through the report, figures out what he can share with us and come to the committee and share it," Graham said. "We're going to do it on Mr. Barr's reasonable schedule. He needs, I think, some reasonable period of time to go through it, working with Mr. Mueller to make sure grand jury information is not disclosed."

Graham initially told reporters earlier Monday that he wanted Barr to testify and "release as much as possible of the Mueller report."

Mueller, according to a four-page summary Barr sent to lawmakers, did not uncover evidence that the Trump campaign conspired or coordinated with the Russian government to interfere in the 2016 election.

ADVERTISEMENT

“The Special Counsel’s investigation did not find that the Trump campaign or anyone associated with it conspired or coordinated with Russia in its efforts to influence the 2016 U.S. presidential election,” Barr wrote in his letter to the House and Senate Judiciary committees.

The attorney general's letter also said that Mueller made no conclusion as to whether President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE obstructed justice in the investigation into Russia's election interference. But it states that Barr and Deputy Attorney General Rod Rosenstein Rod RosensteinDOJ kept investigators from completing probe of Trump ties to Russia: report Five takeaways from final Senate Intel Russia report FBI officials hid copies of Russia probe documents fearing Trump interference: book MORE, after reviewing Mueller's findings, determined that they would not pursue an obstruction of justice charge — a decision likely to be fought along partisan lines in Congress.

“The Special Counsel states that ‘while this report does not conclude that the President committed a crime, it also does not exonerate him,’ ” Barr wrote in the letter.

Jacqueline Thomsen contributed to this report.