Incoming House Judiciary Committee Chairman Jerrold Nadler (D-N.Y.) on Thursday led a group of Democrats in introducing a bill designed to protect 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 from being fired by President Trump Donald John TrumpBarr criticizes DOJ in speech declaring all agency power 'is invested in the attorney general' Military leaders asked about using heat ray on protesters outside White House: report Powell warns failure to reach COVID-19 deal could 'scar and damage' economy MORE.

The legislation reflects growing fears among the president’s critics that he could try to impede Mueller’s investigation into whether his campaign coordinated with Moscow to interfere in the 2016 presidential election. Trump has increasingly castigated the investigation as an “illegal” partisan-led witch hunt that he wants ended.

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The bill, formally known as the Special Counsel Independence and Integrity Act, would codify existing Justice Department regulations that say a special counsel can only be removed for misconduct, dereliction of duty, incapacity, conflict of interest or other good cause. The legislation would also give the special counsel written notice of his or her removal and the opportunity to challenge the move in court.

It is unlikely, however, that the GOP-controlled Senate will take up the bill or a similar one. Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellSenate Republicans signal openness to working with Biden Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll The Hill's Campaign Report: Biden asks if public can trust vaccine from Trump ahead of Election Day | Oklahoma health officials raised red flags before Trump rally MORE (R-Ky.) repeatedly blocked legislation protecting the special counsel from reaching the Senate floor late last year after Trump ousted Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsTrump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status White House officials voted by show of hands on 2018 family separations: report MORE and replaced him with Matthew Whitaker, a Mueller critic, as acting attorney general.

McConnell has argued the bill is unnecessary because he doesn’t believe Trump will look to fire Mueller.

Nadler, along withe Reps. Sheila Jackson Lee Sheila Jackson LeeLawmakers press CDC for guidance on celebrating Halloween during pandemic Sharpton, police reform take center stage at National Mall Sheila Jackson Lee presses Congress to pass reparations bill at DC march MORE (D-Texas) and Steve Cohen Stephen (Steve) Ira CohenTennessee Rep. Steve Cohen wins Democratic primary Democrats exit briefing saying they fear elections under foreign threat Texas Democrat proposes legislation requiring masks in federal facilities MORE (D-Tenn.), introduced the legislation on the first day of the new Congress as Democrats took the helm of the House of Representatives.

In a joint statement, the lawmakers warned of the “questionable” intentions of Whitaker and described the legislation as crucial to ensuring the investigation continues unimpeded.

“As the Special Counsel announces new indictments and guilty pleas from Trump's closest allies and associates, it's clear that the threat to the Mueller investigation will only grow stronger,” the Democratic lawmakers said. “Democrats and Republicans in Congress have mentioned their support for the inquiry to continue unimpeded. Now is the time for Congress to finally act and pass this legislation to protect the integrity of the Special Counsel's investigation and the rule of law."

Nadler and other Democrats on the House Judiciary Committee introduced similar legislation back in April, following the federal raid on the office and hotel room of Michael Cohen, Trump’s former personal attorney. The bill had little chance of passing in the previous Congress, when Republicans had control over the House.

Mueller has for nearly two years been investigating Russian interference and links between the Trump campaign and Moscow, amid increasingly virulent attacks from the president and his allies. Mueller is also said to be probing whether Trump obstructed justice.

Trump has insisted there was no collusion between his campaign and Moscow and characterized the probe as an investigation in search of a crime.

The investigation has ensnared several individuals with links to Trump and his campaign, including former national security adviser Michael Flynn, who pleaded guilty to lying about his contacts with the Russian ambassador during the transition, and former Trump campaign chairman Paul Manafort Paul John ManafortBannon trial date set in alleged border wall scam Conspicuous by their absence from the Republican Convention Ukraine language in GOP platform underscores Trump tensions MORE, who admitted to crimes related to his lobbying on behalf of pro-Russian forces in Ukraine.

Mueller has also charged Russians involved in the hacking of the Democratic National Committee and an elaborate campaign that used social media to spread disinformation leading up to the election.

Mueller has not said anything publicly about collusion between the campaign and Moscow or obstruction of justice but is expected to issue a report to the Justice Department on his findings at the end of his investigation.