Senate Majority Leader Mitch McConnell doesn't predict that Congress will play any role in attempting to rein in special counsel Robert Mueller, who is investigating Russian interference in the 2016 election and possible ties between President Trump's campaign and the Kremlin.

MSNBC host Hugh Hewitt reminded McConnell during an interview that aired Saturday morning that with Mueller's probe issuing its first indictments this week, opposing forces have risen in Congress.

"Some want legislation to restrain his power and limit his reach. Others want legislation to keep him safe from being fired," Hewitt said. "Do you think Congress has any role in legislating about the special counsel right now?"

"I don’t think so. I don’t hear much pressure to pass anything," McConnell, R-Ky., replied. "There’s been no indication that 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."

Legislation was introduced in the House on Friday by Rep. Matt Gaetz which would tell Mueller to resign due to the alleged lack of FBI action under Mueller's leadership regarding the 2010 Uranium One deal approved by the Hillary Clinton State Department.

That came just days after Mueller's inquiry notched its first indictments against former Trump campaign manager Paul Manafort and his former associate, Rick Gates, for their work years ago for their lobbying work on behalf of pro-Russia politicians in Ukraine. This week it was also reported that a former Trump campaign aide, George Papadopoulos, pleaded guilty to lying to the FBI about his contacts with Russian nationals.

Back in August, a bipartisan group of senators proposed a bill that would protect Mueller, should Trump try and fire him.

Trump has in the past called the inquiry into possible collusion with the Russians a "witch hunt," however, as McConnell said, he has not attempted to remove Mueller, who was appointed by Deputy Attorney General Rod Rosenstein after Trump fired former FBI Director James Comey. Trump did say that when he learned his attorney general, Jeff Sessions, had recused himself from any Russia-related probes, he wouldn't have nominated him.

In an interview that will air in full on Sunday, Trump said on Sharyl Attkisson's show "Full Measure" that he "hopes" Mueller is "treating everything fairly," and if that is the case, "I’m going to be very happy because when you talk about innocent, I am truly not involved in any form of collusion with Russia."