Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellFEC flags McConnell campaign over suspected accounting errors Poll: 59 percent think president elected in November should name next Supreme Court justice Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' MORE (R-Ky.) sidestepped tensions within the caucus over Sen. Richard Burr Richard Mauze BurrRep. Mark Walker says he's been contacted about Liberty University vacancy Overnight Defense: Trump rejects major cut to military health care | Senate report says Trump campaign's Russia contacts posed 'grave' threat Senate report describes closer ties between 2016 Trump campaign, Russia MORE's (R-N.C.) decision to subpoena Donald Trump Jr. Don John Trump'Tiger King' star Joe Exotic requests pardon from Trump: 'Be my hero please' Zaid Jilani discusses Trump's move to cancel racial sensitivity training at federal agencies Trump International Hotel in Vancouver closes permanently MORE, arguing that senators weren't trying to tell the Intelligence Committee chairman how to do this job.

"None of us tell Chairman Burr how to run his committee," McConnell told reporters on Tuesday when asked about the tensions within his caucus over the subpoena.

"I asked him to undertake this investigation into Russian collusion a couple of years ago. He's indicated publicly that he believes they will find no collusion and we are hoping that we will get a report sometime soon."

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Pressed on 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's statement earlier Tuesday that the subpoena of his son was "unfair," McConnell again dodged.

"I gave the responsibility of this investigation to Chairman Burr two years ago. He's indicated publicly that they will find no collusion and we anticipate getting that report sometime soon," he said.

Trump said earlier Tuesday that he thought it was "very unfair" for the Republican-led Senate Intelligence Committee to subpoena his eldest son.

“It’s really a tough situation because my son spent I guess over 20 hours testifying about something that [special counsel Robert] Mueller said was 100 percent OK,” Trump told reporters at the White House.

McConnell's statement comes amid lingering tensions among Senate Republicans over Burr and Democratic Sen. Mark Warner Mark Robert WarnerDemocrats call for declassifying election threats after briefing by Trump officials It's time to upgrade benefits Intelligence chief says Congress will get some in-person election security briefings MORE's (Va.) decision to subpoena Trump Jr. as part of the panel's investigation into the 2016 election and Russia's election interference.

Burr has come under high-profile criticism, including from 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.), who is plotting his own probe into the 2016 election. Graham argued that Trump Jr. should comply with the GOP-led panel's subpoena, but said the president's son should plead the Fifth and refuse to testify.

“You just show up and plead the Fifth and it’s over with,” Graham told reporters, referring to the amendment that protects citizens from self-incrimination, according to The Washington Post. Calls for Graham to resign began trending on Twitter Tuesday morning following his remarks.

But McConnell has tried to downplay the tensions sparked by the subpoena, saying last week that Trump shouldn't worry about the current fight between Trump Jr. and the Senate Intelligence Committee.

"I know the president's upset about that, but I think he ought not to worry about it. The chairman of the Intelligence Committee has already said the committee, when it reports, will find no collusion," McConnell told WHAS, a Kentucky radio station.