He did not explicitly endorse Sessions' appearance, saying in response to a question, "We're aware of it, and we'll go from there". Trump's wife, Melania, has adopted a more temperate tone, telling her husband that she believed the appointment of Mueller would speed resolution of the Russian Federation scandal and expressing her view that he would be exonerated, according to two people with direct knowledge of her advice.
Investigations are now under way into Russian meddling in the 2016 election.
At a morning press conference, Ryan and House Majority Leader Kevin McCarthy grew frustrated at reporters asking about Mueller, insisting there was no story. Mr Gingrich said he is troubled by Democratic donations of Mr Mueller's picks to help lead the probe.
So, of course, they would ignore Ruddy's clarification that he doesn't think Trump would actually fire Mueller. I think it's pretty clear by what one of his lawyers said on television recently.
A senior political writer for the newspaper sounded the alarm in a piece titled, "Is Robert Mueller conflicted in Trump probe?"
Mueller and former Federal Bureau of Investigation director James Comey worked closely for years in the George W. Bush administration, when Mueller was Federal Bureau of Investigation director and Comey was deputy attorney general.
Trump does have the authority to remove the special counsel.
The talk about dismissing Mr Mueller appeared to be coming from Trump allies, including some close to White House strategist Steve Bannon, who are increasingly frustrated with the prospect of a long and winding probe. And all of his answers seemed intended as a signal that to fire Mueller without an extremely good reason, Trump would have to fire him too. The person spoke on condition of anonymity to discuss private conversations.
Pundits also noticed that Trump confidante Newt Gingrich had publicly denounced Mueller, and said that he couldn't be trusted to run an independent investigation, even though he had lauded him when he was first chosen.
"Look, the president of the United States, as we all know, is a unitary executive".
The government let the old independent-counsel law expire in 1999 - at that point even Clinton's tormentor, investigator Kenneth Starr, suggested the law needed to change. "And I'm not going to speculate on what he will or will not do", Sekulow said. "And when asked I said that to the president".
In February, after talking with Trump at Mar-a-Lago, Ruddy told CNN that he didn't think the president was being well-served by chief of staff Reince Priebus.
The White House did not immediately respond to questions about Ruddy's claims. Mueller should likewise step away because he has a potential personal conflict of interest, having been a longtime friend of a crucial witness, Comey, and Comey's key ally at the most important moment of his career.