Fox News host Sean Hannity Sean Patrick HannitySunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Cruz: Trump should nominate a Supreme Court justice next week Ex-Pence aide: Trump spent 45 minutes of task force meeting 'going off on Tucker Carlson' instead of talking coronavirus MORE is calling on Rep. John Boehner John Andrew BoehnerLongtime House parliamentarian to step down Five things we learned from this year's primaries Bad blood between Pelosi, Meadows complicates coronavirus talks MORE (R-Ohio) to step down as Speaker of the House.

Hannity, who has criticized Boehner in the past, said it's “time for new dynamic leadership” for Republicans and threw his support behind 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.), the chairman of the House select committee investigating the Benghazi attacks.

“Trey Gowdy is my choice for speaker," Hannity told Breitbart News. “He has the ability to articulate and implement the changes needed to get the country on the right path.”

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Hannity cited the federal budget, border security, energy independence and Gowdy's opposition to ObamaCare for backing the South Carolina Republican.

“John Boehner has snubbed and ignored conservatives for too long as evidenced by the recent ‘cromnibus’ budget deal he made with Obama, Reid and Hoyer,” Hannity added, referring to senior congressional Democrats. “It’s time he step aside for the good of country and the conservative movement.”

The $1.1 trillion “cromnibus” was an end-of-year spending bill opposed by many conservatives, which passed the House with Boehner’s support earlier this month.

Hannity did not mention the controversy surrounding House Majority Whip Steve Scalise Stephen (Steve) Joseph ScaliseHouse GOP slated to unveil agenda ahead of election House panel details 'serious' concerns around Florida, Georgia, Texas, Wisconsin elections Scalise hit with ethics complaint over doctored Barkan video MORE (R-La.) in his comments.

It was revealed this week that Scalise spoke to a white supremacist group in 2002, and there have been calls for him to resign. Boehner offered Scalise his support on Tuesday.

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Other conservatives have weighed in on Scalise and argued for more changes to the GOP leadership team in the House.

“GOP establishment a disastrous mess. Clean them out. Time for new leaders with conservative principles,” conservative radio host Mark Levin wrote on Facebook on Tuesday, linking to a story about Scalise.

Conservative blogger Erick Erickson also criticized Scalise on Monday, arguing his story that he didn’t know about the supremacist’s group’s message was implausible.