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McConnell: 'I don't hear much pressure' to pass bill protecting Mueller from Trump

Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellMeghan McCain calls Russian attacks against her father the 'highest compliment' to her family Schumer: Fight for Senate is 'neck and neck' Nikki Haley powerfully rebuts Trump MORE (R-Ky.) said Saturday he doesn’t think Congress has any role in protecting special counsel Robert Mueller from potentially being fired by President Trump.

“I don’t hear much pressure to pass anything,” McConnell said in an interview with Hugh Hewitt. “There’s been no indication the president or the White House are not cooperating with the special counsel.”

“I think the view up here is, let him do his job,” McConnell continued.

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McConnell’s comments come after the first indictments were handed down in Mueller’s investigation into Russian election interference last week.

Trump’s former campaign chairman Paul Manafort was charged on multiple counts, including conspiracy against the United States and money laundering related to his work for a pro-Russia political party in Ukraine. His former business associate, Richard Gates, was also indicted.

It was also announced Monday that former Trump campaign adviser George Papadopoulos pleaded guilty earlier this month to lying to FBI agents about his contacts with Russian officials.

Senators have previously offered two bills that would protect Mueller from being fired by Trump.

One proposed bill, from Sens. Lindsey GrahamLindsey Olin GrahamCorker: US must determine responsibility in Saudi journalist's death Dem senator calls for US action after 'preposterous' Saudi explanation Trump calls Saudi explanation for journalist's death credible, arrests 'good first step' MORE (R-S.C.) and Cory BookerCory Anthony BookerSanders, Harris set to criss-cross Iowa Election Countdown: Small-donor donations explode | Russian woman charged with midterm interference | Takeaways from North Dakota Senate debate | O'Rourke gives 'definitive no' to 2020 run | Dems hope Latino voters turn Arizona blue Kamala Harris rallies voters in South Carolina MORE (D-N.J.), would require a judge to approve a Justice Department request to fire Mueller or any other special counsel. 

A second bill, from Sen. Thom TillisThomas (Thom) Roland TillisDems angered by GOP plan to hold judicial hearings in October Kavanaugh tensions linger after bitter fight GOP fractured over filling Supreme Court vacancies in 2020 MORE (R-N.C.) and Sen. Chris CoonsChristopher (Chris) Andrew CoonsDem senators urge Pompeo to reverse visa policy on diplomats' same-sex partners 15 Saudis identified in disappearance of Washington Post columnist The Senate needs to cool it MORE (D-Del.), would let Mueller or any special counsel challenge their firing in court.

But following the news of the indictments, Republicans pushed back on Democrats calling for legislation to protect Mueller, saying it wasn’t necessary.

"I don’t feel an urgent need to pass that law until you show me that Mr. Mueller is in jeopardy," Graham said Monday, adding that no one in their “right mind” would fire Mueller.