Senate Minority Leader Charles Schumer Chuck SchumerSenate Democrats introduce legislation to probe politicization of pandemic response Schumer interrupted during live briefing by heckler: 'Stop lying to the people' Jacobin editor: Primarying Schumer would force him to fight Trump's SCOTUS nominee MORE (D-N.Y.) is urging GOP leadership to take up a new bill aimed at limiting President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE's ability to fire 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.

"Why don't we head it off at the pass and move bipartisan legislation that's been introduced this morning through the Judiciary Committee, which I'm told Senator Grassley is seriously considering, and on to the floor of the Senate," Schumer said.

Schumer didn't specify how he knows Senate Judiciary Committee Chairman Chuck Grassley Charles (Chuck) Ernest GrassleyCollins says she will vote 'no' on Supreme Court nominee before election The Hill's Morning Report - Sponsored by Facebook - Trump, GOP allies prepare for SCOTUS nomination this week Gardner signals support for taking up Supreme Court nominee this year MORE (R-Iowa) is considering giving the bill a committee vote but urged him to "schedule a hearing and markup on this bill, to report it out of his committee."

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"We must be sure not to water it down with amendments or accept changes that would render it useless. I urge Leader [Mitch] McConnell to then take that bill and put it on the floor where we can debate it and pass it," he said.

Spokesmen for Grassley did not immediately respond to a request for comment about giving the bill a committee vote.

Sens. Cory Booker (D-N.J.), Lindsey Graham (R-S.C.), Christopher Coons (D-Del.) and Thom Tillis (R-N.C.) are introducing new legislation, the Special Counsel Independence and Integrity Act, on Wednesday.

The legislation would let Mueller, or any other special counsel, receive an "expedited judicial review" within 10 days of being fired to determine if it was for a "good cause." If it was determined it wasn't, he would be reinstated.

It would also codify regulations that only a senior Justice Department official can fire a special counsel and that they must provide the reason for termination in writing.

The senators introduced competing versions of the special counsel legislation last year.

The new legislation comes after Trump lashed out following an FBI raid on the offices, home and hotel room of his personal attorney, Michael Cohen. A referral from Mueller's team reportedly prompted the raid.

"Attorney–client privilege is dead!" Trump said in a tweet, adding, "A TOTAL WITCH HUNT!!!"

He also refused to rule out the possibility of firing Mueller, telling reporters, "We'll see what happens."