Senate Judiciary Committee Chairman Sen. Chuck Grassley Charles (Chuck) Ernest GrassleyGOP set to release controversial Biden report McConnell locks down key GOP votes in Supreme Court fight Senate Republicans face tough decision on replacing Ginsburg MORE (R-Iowa) warned President Trump Donald John TrumpBiden leads Trump by 36 points nationally among Latinos: poll Trump dismisses climate change role in fires, says Newsom needs to manage forest better Jimmy Kimmel hits Trump for rallies while hosting Emmy Awards MORE against firing Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsGOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status MORE on Thursday amid rumors of a major shake-up pending for the Trump administration.

In an interview with Fox News's "Special Report with Bret Baier," Grassley, alongside fellow Judiciary Committee member Lindsey Graham Lindsey Olin GrahamMcConnell locks down key GOP votes in Supreme Court fight Will Republicans' rank hypocrisy hinder their rush to replace Ginsburg? Momentum growing among Republicans for Supreme Court vote before Election Day MORE (R-S.C.), said simply that he doesn't believe Trump should oust his attorney general despite reported anger over Sessions's handling of the Russia investigation.

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"I would only answer your question this way unless you push me on it: I don't think he should be fired," Grassley said.

"It would blow up the committee," Graham agreed. "The chairman has done a wonderful job in getting nominees out of the committee with a lot of [Democratic] obstruction, but if you had to replace the attorney general, Jeff Sessions, with somebody new it would blow the place up."

"It would be seen as an effort to undermine the [special counsel Robert] Mueller investigation," he continued. "It would lock the Senate down, and I think Jeff Sessions has done a great job."

Grassley added that the White House and Trump have enough pending nominations to balance without launching a search for a new attorney general.

"This administration's got enough to do. There are a hundred vacancies in the court now that my committee has to deal with. We don't have time to deal with a lot of things that are going fairly smoothly," he said.

On Thursday, the president wouldn't rule out more personnel changes for his administration just days after he fired Secretary of State Rex Tillerson Rex Wayne TillersonGary Cohn: 'I haven't made up my mind' on vote for president in November Kushner says 'Alice in Wonderland' describes Trump presidency: Woodward book Conspicuous by their absence from the Republican Convention MORE and announced that he would be replaced by CIA Director Mike Pompeo Michael (Mike) Richard PompeoUS reimposes UN sanctions on Iran amid increasing tensions Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Trump steps up Iran fight in final election stretch MORE.

“There will always be change, and I think you want to see change,” Trump said.

Earlier this month, White House press secretary Sarah Huckabee Sanders said the president had no plans that she knew of to fire the attorney general.

"The president has made his frustration very clear, and I don't have anything to add about that," she added.