Republican Sen. Lindsey Graham Lindsey Olin GrahamSenate GOP aims to confirm Trump court pick by Oct. 29: report The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Senate GOP sees early Supreme Court vote as political booster shot MORE (S.C.) said Sunday that Speaker Nancy Pelosi Nancy PelosiHoyer: House should vote on COVID-19 aid — with or without a bipartisan deal Ruth Bader Ginsburg lies in repose at Supreme Court McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE's (D-Calif.) job is at risk.

"Her job is very much at risk," Graham, a staunch defender of President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE, said on "Fox News Sunday." "Nancy Pelosi is riding a bucking, wild bronco called the Democratic caucus."

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"Seventy percent of the Democratic base wants President Trump impeached. She knows that impeachment would be political suicide because there’s no reason to impeach the president. So she’s trying to keep the party intact. If she goes down the impeachment road, Republicans take back the House, we keep the Senate, President Trump gets reelected."

Pelosi has faced increased pressure from many members of her party in recent weeks to launch impeachment proceedings against the president.

The California lawmaker, however, has maintained that beginning proceedings is premature.

Trump and Pelosi engaged in a war of words all last week.

The president said he would not work with Democrats on their legislative priorities unless they end their investigations, which he views as an attempted “redo” of 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 probe.

He walked out of a meeting with Pelosi and Senate Minority Leader Charles Schumer Chuck SchumerCruz blocks amended resolution honoring Ginsburg over language about her dying wish Senate Democrats introduce legislation to probe politicization of pandemic response Schumer interrupted during live briefing by heckler: 'Stop lying to the people' MORE (D-N.Y.) moments after Pelosi said Democrats think Trump is engaging in a “cover-up” by refusing to cooperate with investigations.

The Democratic leader later said that she thinks Trump is “just crying out” for Democrats to launch impeachment proceedings against him as a way to distract from scandals plaguing his administration.

“Per usual, the Senator has absolutely no idea what he’s talking about,” Pelosi's deputy chief of staff, Drew Hammill, told The Hill in an email.

--This report was updated at 12:40 p.m.