Washington (CNN) Senate Republicans say it's time to move on from special counsel Robert Mueller's investigation.

While House Democrats are ramping up their investigations of President Donald Trump and asking that Mueller testify, Senate Republicans say they don't see the need to follow up on the Mueller report or bring him before their committees.

"I'm all good, I'm done with the Mueller report," said Senate Judiciary Chairman Lindsey Graham in an interview with CNN in South Carolina. "We will have (Attorney General William) Barr come in and tell us about what he found. I made sure that Mueller was able to do his job without interference. The Mueller report is over for me. Done."

Graham and Republican Sen. Joni Ernst, a member of the Senate Judiciary Committee, both told CNN Monday they didn't think testimony from Mueller would be necessary in the days ahead, a sign of the clear split between Republicans and Democrats about how to pursue the findings from the two-year probe into Trump and his campaign.

Asked about the Democratic investigations, including the subpoena issued Monday for former White House counsel Don McGahn, Graham said: "Knock yourself out."

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