Senate Judiciary Committee Chairman 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 Wednesday that he will not ask former White House counsel Don McGahn to testify before the Senate panel.

“I’m not retrying the case. I’m not calling McGahn. It is over,” Graham, an ally of President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE, told reporters on Wednesday afternoon.

Graham's comments came shortly after the Judiciary Committee wrapped up an hours-long hearing with Attorney General William Barr Bill BarrHarris faces pivotal moment with Supreme Court battle Hillicon Valley: DOJ proposes tech liability shield reform to Congress | Treasury sanctions individuals, groups tied to Russian malign influence activities | House Republican introduces bill to set standards for self-driving cars McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE focused on the attorney general's handling of 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 report.

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McGahn has emerged as a point of interest as lawmakers dig into the findings from Mueller’s investigation into Russian interference in the 2016 election and the Trump campaign, as well as potential instances of obstruction of justice by the president.

In one "episode" of potential obstruction described by Mueller, Trump in 2017 ordered McGahn to tell 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 to get rid of the special counsel. But McGahn refused, warning that he would rather resign.

In a subsequent episode described by Mueller, Trump last year tried to get McGahn to deny that he ever asked the White House counsel to help fire Mueller.

Barr acknowledged during the hearing Wednesday that he has objections to McGahn testifying publicly to Congress about his interactions with Trump.

Asked by Sen. Dick Durbin Richard (Dick) Joseph DurbinFeinstein 'surprised and taken aback' by suggestion she's not up for Supreme Court fight Grand jury charges no officers in Breonna Taylor death Democrats shoot down talk of expanding Supreme Court MORE (D-Ill.) if Barr had “any objections” to McGahn testifying, as House Democrats have demanded, the attorney general said he did, noting that McGahn was a “close adviser to the president.”

Barr also denied that Trump had already waived executive privilege by allowing McGahn to speak to Mueller and for the special counsel's report to be publicly released without asserting privilege over any of its contents.

“No, we haven’t waived his privilege,” Barr stated.

Barr’s use of the word “we” created an immediate storm on social media, with critics arguing it highlighted how the attorney general has operated on the president's behalf.