Rosenstein gave the guarantee in a White House meeting with the president last Thursday, raising the discussion of the Mueller investigation on his own.
"Trump told some of his closest advisers after the meeting that it is not the right time to remove either man since he is not a target of the probe, Bloomberg reported".
A US judge expressed scepticism on Thursday as a lawyer for President Donald Trump's former campaign chairman Paul Manafort sought to convince her to dismiss charges brought by Special Counsel Robert Mueller.
Trump urged for a speedy end to the probe.
Speculation on Mueller's fate grew after the Federal Bureau of Investigation raided the house, office and hotel room of Trump's personal attorney, Michael Cohen, last week.
After months of negotiations over a possible bill to protect Mueller from getting fired by Trump, Senate Majority Leader Mitch McConnell, R-Ky., said Tuesday that such legislation is "unnecessary".
Sarah Sellers, Boston Marathon Runner-Up, a Virtual Unknown
Sellers, who finished 4:10 behind, is a full-time nurse who had to train before or after work - at 4 a.m. or 7 p.m. She started mixing in shorter distances, and in October signed up for her first cross-country race in seven years.
"If House Republicans refuse any accommodation short of the Department of Justice handing over custody of these documents -- which it can not do - I fear the Majority will have manufactured an excuse to hold the Deputy Attorney General in contempt of Congress", he wrote.
"Investigators will naturally look at those things", he said.
Trump, who still hasn't ruled out removing Rosenstein and Mueller at some point, signaled his shift in approach to them Wednesday, responding to a reporter's question about their fate by saying they are "still here".
The story adds more clarity to comments the president made Wednesday about Rosenstein and Mueller, whom he has repeatedly criticized.
But when recipients clicked on the message, the email itself simply condemned the president based on speculation that he might fire Mueller - not that the president had actually done so. But it could also bring backlash from members of Congress or voters.
Trump complained that his actions to counter Russian aggression in Europe and the Mideast have been ignored, and for "the media" nothing he says or does about Russia will be considered strong enough. Chuck Grassley (R-IA), chair of the Senate Judiciary Committee, announced that he would allow such a bill to move forward, though Mitch McConnell (R-KY) said that no vote would be held on a Mueller protection bill, effectively killing the effort.
Griffin said one reason Trump is being treated as a subject, rather than a target, may be that Rosenstein is operating under assumption that a sitting president can not be indicted. Trump (so far) seems to be toeing that line.
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