Rep. Mark Meadows Mark Randall MeadowsThe Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November House moves toward spending vote after bipartisan talks House Democrats mull delay on spending bill vote MORE (R-N.C.) on Wednesday night threatened to force a vote on the GOP resolution to impeach Deputy Attorney General Rod Rosenstein Rod RosensteinDOJ kept investigators from completing probe of Trump ties to Russia: report Five takeaways from final Senate Intel Russia report FBI officials hid copies of Russia probe documents fearing Trump interference: book MORE.

Meadows told Fox News host Laura Ingraham that any lawmaker can force the issue to the House floor without leadership support by offering the resolution as a "privileged motion," meaning the House must vote on it within two days.

"Certainly, we hope it doesn’t have to come to that," Meadows said on Ingraham's show "The Ingraham Angle."

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Meadows, along with Rep. Jim Jordan James (Jim) Daniel JordanHouse panel pulls Powell into partisan battles over pandemic Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus MORE (R-Ohio), on Wednesday filed articles of impeachment against Rosenstein, the top Department of Justice (DOJ) official overseeing 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's Russia investigation. That measure is not a privileged resolution so it cannot be brought straight to the House floor.

The articles of impeachment charge that Rosenstein has a conflict of interest in Mueller's probe, and has failed to produce documents for ongoing investigations into the FBI and DOJ's conduct during the 2016 presidential election.

"And quite frankly, it’s either we hold them in contempt or we get the documents or we impeach them," Meadows added on Fox. "And the only thing we have control over is to bring impeachment straight to the floor."

Republican lawmakers have targeted Rosenstein for months, but some have voiced concerns about the movement to impeach him.

House Speaker Paul Ryan Paul Davis RyanKenosha will be a good bellwether in 2020 At indoor rally, Pence says election runs through Wisconsin Juan Williams: Breaking down the debates MORE (R-Wis.) has not signed on in support of the resolution, but Meadows said it does not "require the consent of the Speaker."

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"What we put in today was nonprivileged," Meadows said, explaining the details of the process. "It goes in, gets referred to the [House] Judiciary Committee, but starting tomorrow, we can bring it up as a privileged motion."

"It really means that it would require a vote on the House floor within two days, and that’s something any member of Congress, Jim [Jordan] or I, can do," he continued.

Meadows is the chair of the House Freedom Caucus, a voting bloc made up of some of the most conservative members of the House. All eleven House members who signed onto the impeachment resolution are members of the caucus who have been some of Rosenstein's fiercest critics.

Conservatives frustrated with Mueller's investigation into Russian involvement in the 2016 presidential election have long targeted Rosenstein, with some lawmakers claiming he has delayed their probe into FBI agents involved in Mueller's investigation who they feel are biased against Trump.

Jordan said they want to impeach Rosenstein because they believe he has "stonewalled" efforts by Congress to obtain documents necessary for their investigations.

"We’re tired of the Justice Department giving us the finger and not giving us the information," he told Ingraham.

Democrats have called the attempt at impeachment "a direct attack on the special counsel’s investigation."

"It is a panicked and dangerous attempt to undermine an ongoing criminal investigation in an effort to protect President Trump as the walls are closing in around him and his associates," said the top Democrats on the House Judiciary, Oversight and Government Reform and Intelligence committees, Reps. Jerrold Nadler (N.Y.), Elijah Cummings Elijah Eugene CummingsBlack GOP candidate accuses Behar of wearing black face in heated interview Overnight Health Care: US won't join global coronavirus vaccine initiative | Federal panel lays out initial priorities for COVID-19 vaccine distribution | NIH panel: 'Insufficient data' to show treatment touted by Trump works House Oversight Democrats to subpoena AbbVie in drug pricing probe MORE (D-Md.) and Adam Schiff Adam Bennett SchiffPelosi, Democrats unveil bills to rein in alleged White House abuses of power Chris Matthews ripped for complimenting Trump's 'true presidential behavior' on Ginsburg Trump casts doubt on Ginsburg statement, wonders if it was written by Schiff, Pelosi or Schumer MORE (D-Calif.), respectively, in a joint statement.