White House denies Trump wants Mueller out, but heat's on

President Donald Trump will not be firing Robert Mueller, the Department of Justice special prosecutor appointed to investigate Russian interference in the 2016 elections and whether Trump's campaign was involved, White House spokeswoman Sarah Huckabee Sanders said on Tuesday night.

Trump's allies have begun raising questions about the former FBI director's impartiality, suggesting he can not be trusted to lead the investigation.

In the interview, Mr Ruddy said Mr Trump had considered replacing Mr Comey with Mr Mueller, who served as Federal Bureau of Investigation director during the George W. Bush and Barack Obama administrations. Speaker of the House Paul Ryan, couching the same advice in friendlier terms, said: "The best thing to do is to let Robert Mueller do his job", adding that "the best vindication for the president is to let this investigation go on independently and thoroughly".

The responsibility for appointing (or theoretically firing) Mueller lies with Rosenstein because his boss, Attorney General Jeff Sessions, recused himself in March from all investigations involving Russian Federation and the 2016 elections.

Ruddy says that Spicer asked him to issue a follow-up statement or a tweet indicating that he never spoke to Trump about firing Mueller and so does not know first-hand that it is something the president is considering.

Rosenstein, who appointed Mueller, on Tuesday said: "As long as I'm in this position, he's not going to be fired without good cause". So, that's what I would do. "If there were good cause, I would consider it".

Asked about criticisms that some of the members of Mueller's team and his ability to conduct fair investigation, Ryan said he didn't know the team but said, "I know Bob Mueller".

Watch Catherine Herridge's report above.

It's hard to say how much credibility should be attached to Christopher Ruddy's remark on PBS and later on CNN. He told MSNBC's "Morning Joe" that "I don't think the Congress would sit still and allow the president to pick his own investigator".

Mueller was interviewed by the Justice Department and by the president for the director's position, according to a senior White House official.

Deputy Attorney General Rob Rosenstein was praised for the Mueller appointment.

But after the testimony of former FBI Director James Comey last week, Gingrich said he'd changed his mind.

The revised ban, which Trump has said repeatedly now is a "travel ban", has been stayed by two appellate courts - the Fourth Circuit was the first, last month - and the administration has sought a review by the Supreme Court, and this injunction is headed for it as well. Read Also: Trump to announce Cuban policy next weekSeveral lawmakers came out in support of Mueller.

A person close to Trump's legal team said earlier Tuesday that there have been no discussions about firing Mueller with the legal team. Sessions told senators on Tuesday that he'd recused himself because he was part of Trump's campaign.

"We also were aware of facts that I can't discuss in an open setting that would make his continued engagement in a Russia-related investigation problematic", Comey said.