If Trump instructs Rosenstein to dump Mueller, it would evoke memories of 1973, when the two top Justice Department officials, Elliott Richardson and Bill Ruckelshaus, resigned rather than obey President Richard Nixon's order to fire Archibald Cox, the special prosecutor conducting the Watergate investigation.
The source said investigators have sought information from Richard Ledgett, who recently retired as deputy NSA director and, the source said, had written a memo documenting an attempt from Trump urging Rogers to tamp down on the FBI's Russian Federation investigation.
His comments appeared to directly contradict Mr Trump's own tweet this week, in which he appeared to refer to deputy attorney general Rod Rosenstein when he wrote: "I'm being investigated for firing the Federal Bureau of Investigation director by the man who told me to fire the Federal Bureau of Investigation director".
It was not clear whether the president was basing his tweet on direct knowledge, or on reports this week that special counsel Robert Mueller is examining whether he obstructed justice by firing Mr Comey last month amid the Russian Federation investigation. "So, it is not hard for me", he said, arguing that while a new president and attorney general will have new priorities, the way the department peruses and prosecutes cases doesn't change.
In a statement, Feinstein said, "The message the president is sending through his tweets is that he believes the rule of law doesn't apply to him and that anyone who thinks otherwise will be fired".
Deputy Attorney-General Rod Rosenstein has replaced Attorney-General Jeff Sessions as head of the Russia-Trump probe.
Sekulow told "Fox News Sunday" and three other shows that Trump's tweet was based exclusively on a Washington Post report, and he insisted Trump wasn't under investigation. The White House has denied any collusion.
Trump has fueled the concern in Congress by repeatedly calling the congressional and executive investigations into his campaign's ties with Russian Federation a "witch hunt".
The president has directed some of his frustration at Rosenstein and Mueller.
Hours later, a source close to Mr Trump's outside legal team said the President did not intend his tweet to be confirmation of the investigation but rather was reacting to a Washington Post story.
President Trump is on his way to Miami, where he plans to announce changes to US policy toward Cuba.
The White House confirmed Mr Mueller was among the candidates the president interviewed to replace Mr Comey.
Even if we assume that Attorney General Jeff Sessions and Russian Ambassador Sergey Kislyak met only briefly, we can not allow the attorney general to hide the content of their talks ["Sessions silent on talks with Trump", front page, June 14].
Now, ironically, we had one of those only-in-Washington episodes yesterday when both Rosenstein and Trump were face to face at the Supreme Court building. "If that happens Mike Pence will soon become the 46th President". Today, Trump's lawyer, Jay Sekulow, spoke to the press to help clear up the issue. Pence headed the Trump transition until Inauguration Day.
Mueller met with Senate intelligence chairman Richard Burr and Sen. "Witch Hunt", wrote Trump.
As Stone points out, there is pretty thin evidence that Putin ordered "an influence campaign" to "harm" Trump's rival Hillary Clinton's "electability and potential presidency".
Meanwhile, another lawyer, Washington veteran John Dowd, has joined the Trump legal team.