The White House reiterated on Wednesday that it would be cooperative with Mr. Mueller.
Mueller's team has also made clear it is seeking a sit-down interview with Trump, according to these sources. His spokeswoman Sarah Sanders declined comment on specific interviews but said the White House would not stand in the way of the probe.
As to when it might happen, Mr Trump said: "Yesterday they were talking about two to three weeks". He oversees the work of Mueller's investigators, but he told the AP in an interview last June that he, too, would recuse himself if his actions ever became relevant to the probe.
Discussions between Trump's personal lawyers and Mueller's team have been under way about the possibility of an interview with Trump and what the scope of it might be, according to a person familiar with the talks.
"It seems to me that this is a process crime/perjury trap, and if I were Trump's lawyers, I wouldn't let him get anywhere near this!"
Last week, Mueller's investigators interviewed Attorney General Jeff Sessions about the Comey firing, Justice Department officials confirmed.
In his remarks to reporters on Wednesday, Trump repeated past statements that there was no collusion between the campaign and Russian Federation and "there's no obstruction whatsoever".
Dowd said he created the document to "summarize this extraordinary cooperation", arguing the administration has provided "unprecedented" transparency to the Russian Federation probes.
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"I don't think so".
The president said he's "not at all concerned" about what Sessions may have told Mueller's team.
He was responding to a question whether he was ready for an interview with Muller who wants to question him about his decision to fire his former national security advisor Michael Flynn and Federal Bureau of Investigation director James Comey.
Trump has continued to blast the ongoing Russian Federation investigation as a "witch hunt" and has lashed out repeatedly at the Justice Department.
Representatives for the CIA said the US intelligence agency had no comment on NBC's report.
So far, four people have been charged in the investigation, including Flynn and former Trump campaign chairman Paul Manafort.
The White House originally attributed Mr Trump's decision to fire Mr Comey as a result of the former FBI director's handling of an investigation into Hillary Clinton.