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.) on Thursday came out against the conservative push 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, the top Justice Department 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.

"Do I support impeachment of Rod Rosenstein?" he asked during a press briefing at the Capitol. "No, I do not."

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"I don't think we should be cavalier with this process or this term [impeachment]," he said. "I don't think this rises to the level of high crimes and misdemeanors."

A group of 11 conservative House lawmakers, led by 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), the co-founder of the House Freedom Caucus, and Rep. Mark Meadows Mark Randall MeadowsAnxious Democrats amp up pressure for vote on COVID-19 aid Pelosi hopeful COVID-19 relief talks resume 'soon' The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November MORE (R-N.C.), the group's current chairman, on Wednesday introduced articles of impeachment against Rosenstein.

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

Meadows on Wednesday night threatened to force a vote on Rosenstein's impeachment by bringing it up as a "privileged" resolution, meaning the House must vote on it within two days.

Ryan has not signed on in support of the resolution, but Meadows said it would not require his consent.

Other top GOP lawmakers have voiced concerns about the push to impeach Rosenstein.

Rep. Trey Gowdy Harold (Trey) Watson GowdySunday shows preview: Election integrity dominates as Nov. 3 nears Tim Scott invokes Breonna Taylor, George Floyd in Trump convention speech Sunday shows preview: Republicans gear up for national convention, USPS debate continues in Washington MORE (R-S.C.) last week ruled out the possibility of impeaching Rosenstein, saying there is not enough support for his ouster, while Rep. Mark Walker Bradley (Mark) Mark WalkerJoe Biden has long forgotten North Carolina: Today's visit is too late Mike Johnson to run for vice chairman of House GOP conference The Hill's Morning Report - Sponsored by National Industries for the Blind - Woodward book revelations rock Washington MORE (R-N.C.), the chairman of the conservative Republican Study Committee, on Thursday came out in opposition, telling reporters on Capitol Hill that he would vote against any effort to impeach Rosenstein.