But Trump tried to remain on the offensive yesterday, charging on Twitter that investigators have so far turned up no evidence of wrongdoing.
The New York Times sued the FBI on Friday, seeking a court's help in getting the agency to turn over documents created by fired FBI Director James Comey after his conversations with President Donald Trump.
Comey testified in Congress on June 8 that Trump urged him to "let go" of an investigation into fired National Security Adviser Michael Flynn who was part of his campaign and transition team on February 14.
Trump blasted Mueller on Twitter on Thursday, saying the Russian Federation probe was being "led by some very bad and conflicted people", apparently referring to the special counsel.
"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", Feinstein said.
Kushner's attorney said such a review would be "standard practice".
Trump cleared out the rumours about being under investigation after Rosenstein released a statement Thursday evening denying that the president is under investigation.
58 presumed dead in London tower fire
At least 45 fire engines and over 200 firefighters and officers were deployed to the scene, the London Fire Brigade said. Such a direct message from the monarch is rare and indicated the extent of the turmoil in Britain.
Roger Stone says President Trump should fire special counsel Robert Mueller and Deputy Attorney General Rod Rosenstein for "wasting the taxpayer's money" in what he called, a "witch hunt" to take down the president. "The Department of Justice has a long-established policy to neither confirm nor deny such allegations". The official demanded anonymity because the official was not authorized to be named discussing the deliberations.
Trump has told associates he has the legal authority to fire Mueller.
The White House confirmed that Mr. Mueller was among the candidates Mr. Trump interviewed for the Federal Bureau of Investigation post. She's the associate attorney general, which makes her third in command at the Justice Department behind Rosenstein and Sessions.
The order from the general counsel for the transition team casts a wide net on documents that could shed light on ties between Trump's presidential campaign and representatives of Russia's government. He also has millions of followers on his official Facebook pages.
The Twitter attacks came as Vice-President Mike Pence hired a personal lawyer to represent him in the intensifying investigation. Pence headed the Trump transition until Inauguration Day.
Vice President Mike Pence also has retained a private attorney for the Russian Federation probes, according to a Pence spokesman.
If Rosenstein recuses himself, Brand, a Trump appointee, would become the top Justice official overseeing Mueller's work. But Rep. Adam Schiff (D-Calif.), the ranking Democrat on the House Intelligence Committee, said he wants his panel to probe obstruction of justice.