"I think the best thing to do is to let Robert Mueller do his job".
Matt Lewis, a CNN political commentator, said Trump has a pattern of surprise moves, such as the firing of former FBI Director James Comey.
Trump advisers and confidants describe the president as increasingly angry over the investigation, yelling at television sets in the White House carrying coverage and insisting he is the target of a conspiracy to discredit - and potentially end - his presidency.
"I am not at liberty to talk about that now, and the reason for that is that if it is within the scope of Director Mueller's investigation. we don't want people talking publicly about open investigations", he said. "Special counsel Mueller may be fired only for good cause, and I am required to put that cause in writing".
But Ruddy opened a new line of questions about Mueller's impartiality - the fact that Trump had considered Mueller for the Federal Bureau of Investigation director's job before he was named special counsel.
President Donald Trump speaks in the Roosevelt Room of the White House in Washington, Thursday, June 15, 2017, during an event on Apprenticeship and Workforce of Tomorrow initiatives. Mr Gingrich said he is troubled by Democratic donations of Mr Mueller's picks to help lead the probe.
After initially being praised by Republicans and Democrats for his integrity, in recent days Mueller's impartiality as special counsel has been questioned by some Trump supporters.
The former speaker said Trump called him Monday night and that the two discussed Gingrich's concerns.
"This isn't about law, this is a political investigation, and the reason Mueller was appointed was to appease the left who was attacking the Justice Department about its investigation of this Russian Federation collusion scandal". As we all know, Mueller is in charge of investigating any and all links between the Trump Campaign and the Russian government, as well as other matters pertaining to such.
The ploy worked. Rosenstein, who was handling the investigation because Sessions had already recused himself based on his involvement in the 2016 Trump presidential campaign, came under enormous political pressure to appoint a special counsel.
"Well, as predicted, the 9th Circuit did it again - Ruled against the TRAVEL BAN at such a unsafe time in the history of our country", Trump tweeted, ending it with, "S.C.", a reference to the Supreme Court, to which the Trump administration intends to take its case.
"First, most simply, Trump could order Mueller fired", Katyal said.
It should be noted Deputy Attorney General Rod Rosentein testified in front of the Senate Appropriations Committee Tuesday morning and said he is the only person who can remove Mueller from his position.
Ruddy told PBS he thinks firing Mueller "would be a very significant mistake, even though I don't think there's a justification. for a special counsel".