"This seems like such a bad idea-for the nation, and for the President-that I have a hard time believing it is a live possibility", wrote Harvard Law Professor Jack Goldsmith, a former Assistant Attorney General and Special Counsel to the Department of Defense, in a blog post Monday.
Ms sanders also said says the president was pleased with attorney general Jeff Sessions' evidence to Congress on Tuesday.
Then Ruddy spread out, like a banquet, what will be Trump's argument for sacking Mueller, the former Federal Bureau of Investigation director under Barack Obama and George W. Bush.
"Time to rethink", he tweeted Monday, citing Mueller's hiring decisions and Comey's admission that he'd instructed a friend to share with reporters notes he'd taken of his private conversations with Trump in order to force the appointment of a special counsel.
CHRISTOPHER RUDDY: I know for a fact that he was under consideration and that the president did talk with him in the days before he was named special counsel.
"I think he should let Bob Mueller do his job, do his job independently, and do his job quickly, because I think that that's what he would want to have happen", Ryan told conservative commentator Guy Benson.
Justice Department rules prohibit the dismissal of a special counsel without cause.
Trump, however, lacks the legal authority to directly fire Mueller.
On the other hand, Jay Sekulow, a member of Trump's legal team, suggested the possibility that the President could fire the special counsel if he believes that the Russian Federation probe is compromised. Sessions is set to discuss the scope of his recusal from the Russian investigation, any meetings he had with Russian officials as a surrogate of the Trump campaign and the circumstances around the firing of FBI Director James Comey. "I will defend the integrity of that investigation", Rosenstein said. If Trump were to make such a move, he would have to order Rosenstein to fire Mueller. Political observers noted that Trump's allies including former House Speaker Newt Gingrich are intensifying their attacks against Mueller. Jeanne Shaheen, a New Hampshire Democrat, whether he has seen good cause to fire Mueller.
Deputy Attorney General Rod Rosenstein said in separate testimony Tuesday that there was no "secret plan" to fire Mueller, nor was there cause.
Gingrich added that Trump is "actually pretty confident" in the investigation and "ultimately, he's still going to be president and this stuff is all going to go away".
He said he doubts Mueller can be trusted to carry out an impartial investigation.
For many, the prospect of Mueller's firing immediately brought to mind the 1973 dismissal of special prosecutor Archibald Cox during the Watergate scandal.