He says he is confident that Mueller will have "the full independence he needs" to investigate thoroughly.
Conservative commentator Ann Coulter offered a similar message, tweeting, "Now that we know TRUMP IS NOT UNDER INVESTIGATION, Sessions should take it back & fire Mueller".
Deputy Attorney General Rod Rosenstein says he will "defend the integrity" of the special counsel's investigation into Russian interference in the US elections. He added that "if there were good cause, I would consider it".
The reports that Trump was considering ousting Mueller appeared to lead to officials leaking to the Post that the Mueller investigation included probing possible obstruction of justice, a move that would make it more hard for Trump to remove Mueller without increased backlash.
Mr Trump's friend Chris Ruddy, CEO of Newsmax, went even further, suggesting the president was already thinking about "terminating" Mr Mueller.
"You're creating a debate that's not happening", said House Majority Leader Kevin McCarthy Tuesday morning, responding to a reporter's question about the rumors.
The letter said the investigation will also probe Comey's testimony that Loretta Lynch, as President Barack Obama's attorney general, had directed him to describe an FBI probe into Hillary Clinton's email practices as merely a "matter" and to avoid calling it an investigation. Rosenstein wrote a memo to Sessions on Comey, which was then used by the administration to justify firing the director for his handling of the Clinton case.
Deputy Attorney General Rod Rosenstein says he has seen no evidence of good cause to fire the special prosecutor overseeing the Russian Federation investigation.
"I think that he should be more cognizant of making sure that the people who come to work with him are non-partisan, for his own credibility", Bennett said of Mueller.
FIFA targets gay slurs by Chile, Mexico fans in Russia
According to the draw, Group A includes Russia , New Zealand , Portugal and Mexico, Group B - Chile, Australia and Germany. Under Russian law, foreign spectators can enter the country visa-free, with only identification documents and a Fan ID.
"When the day comes that our country can not rely on people to deliver the truth about whatever the subject is from positions of great authority and great reputations, like Mueller, and if we just dismiss those as not being able to deliver us the truth about an issue, we've got more problems than we think we have", Womack said.
Trump's Twitter response followed days of intensifying criticism of Mueller from some conservatives, who have charged the former Federal Bureau of Investigation director and his team with political bias and have claimed his relationship to Comey and an earlier meeting with Trump amount to conflicts of interest.
"I think Congress should now intervene and they should abolish the independent counsel", the former House speaker said. Brian Schatz, D-Hawaii.
Ruddy was at the White House to meet with White House aides but did not speak with the president, spokesman Sean Spicer said. Ruddy seemed to derive his assessment at least in part from comments Jay Sekulow, a member of Trump's legal, made over the weekend on ABC News' "This Week".
"I can't imagine that that issue is going to arise", he added moments later, "but that again is an issue that the president with his advisers would discuss if there was a basis". An order from the president would not necessarily qualify, he said.
Trump's allies have begun raising questions about special counsel Robert Mueller's impartiality - he's a former FBI director who has worked with fired FBI Director James Comey - and floating the idea that Trump might replace him. He had to correct that assertion after The Washington Post revealed that Sessions twice met with the Russian ambassador during the campaign and did not disclose that to the Senate. "With respect to this subject, only the president or his attorneys are authorized to comment".
Deputy Attorney General Rod Rosenstein returns to Capitol Hill on Tuesday for a public hearing in front of the House's budget-writing Appropriations Committee.
Senate Intelligence Committee Chairman Richard Burr, R-N.C., and Sen.