It was unclear whether the president's comment confirming he was under investigation was based on direct knowledge or media reports that Mueller is examining whether the president obstructed justice by firing Comey.
The transition official spoke on condition of anonymity because the person was not authorized to discuss post-election decisions publicly.
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. The White House denies any collusion.
Spending the weekend with his family at Camp David, the president began Father's Day by tossing out three tweets that touched on an outlier poll and his agenda in the face of the "Witch Hunt" Russia probe.
The president wrote on Twitter, "I am being investigated for firing the FBI Director by the man who told me to fire the FBI Director!" This was the week the investigation of Russia's involvement in the 2016 election reached the Oval Office - and Trump himself.
Rosenstein also wrote a memo recommending the dismissal of Comey for his mishandling of the announcements about and the FBI investigation into Democratic presidential candidate Hillary Clinton's use of a private email server when she was secretary of state. The newspaper noted Mueller had requested interviews with CIA Director Dan Coats, National Security Agency chief Michael Rogers and Richard Ledgett, the former NSA deputy director. Still, the snowballing investigation has deeply angered Trump, who denies he has any nefarious ties to Russian Federation.
Democratic Senator Dianne Feinstein, a Senate Intelligence Committee member, said she was "increasingly concerned" Trump would try to fire not only Mueller, but also Rosenstein.
Rep. Scalise's vital signs stable, doctor says
James Hodgkinson , 66, from Belleville, Illinois, was shot dead by police after opening fire in Alexandria, Virginia on Wednesday. Griner, who was also shot, is in the hospital in good condition and spirits after a gunshot wound to the ankle, Sava said today.
A Trump confidant said this week the president had considered firing Mueller.
"Witch hunt' is how Trump characterizes the probe into Russia's election interference and possible ties to his campaign associates". But Rep. Adam Schiff (D-Calif.), the ranking Democrat on the House Intelligence Committee, said he wants his panel to probe obstruction of justice.
President Trump emphasized the importance of "dignity" and "honest" work in his weekly address released Friday, which focused on providing advice to young workers.
Trump kept up his criticism of the investigations, writing on Twitter, "After 7 months of investigations & committee hearings about my 'collusion with the Russians, ' nobody has been able to show any proof".
"Why is that Hillary Clintons family and Dems dealings with Russian Federation are not looked at, but my non-dealings are?" he asked at one point.
"The MAKE AMERICA GREAT AGAIN agenda is doing very well despite the distraction of the Witch Hunt", the Republican leader tweeted while away on his first weekend to Camp David, the official United States presidential retreat in the mountains of western Maryland.
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