According to The Times, Mueller has already formulated around four dozen questions for the president.
"In any interview with a subject, I would want to make sure I had unlimited time", Comey said, when asked his opinion during a packed event at George Washington University sponsored by a local bookstore.
The questions also show Mueller wants to find out what Trump knew about links between members of his presidential campaign and Russia, including a June 2016 meeting at Trump Tower with a Russian lawyer offering damaging information on election rival Hillary Clinton, the Times said.
The questions are the clearest signal yet that Mueller has enough circumstantial evidence to suspect the president of obstruction, and also has reason to believe Trump might have known of the Russian Federation links.
Most of the questions would ask Trump to elaborate on prior public statements, such as what he meant when he told NBC News anchor Lester Holt he fired Comey because of the brewing Russian Federation probe.
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Additional questions centre on Michael Flynn, Mr Trump's former national security adviser, who has pleaded guilty to lying to the Federal Bureau of Investigation about his discussions on sanctions against Russia with Russian ambassador Sergey Kislyak during the presidential transition.
As per usual of late, House Intelligence Committee Republicans and Democrats issued separate reports last week with the GOP version declaring that there is "no evidence" of collusion between President Donald Trump, or his campaign, and the Russians. Trump has denied any collusion or improper activity and called the Mueller investigation a witch hunt.
Mr Flynn was sacked on February 13, 2017, after White House officials said he had misled them about his Russian contacts during the transition period by saying he had not discussed sanctions.
So far, four people, including Flynn, have pleaded guilty to lying to investigators in the Russian Federation inquiry.
The list of questions grew out of those negotiations. But an interview with Mueller could open Trump up to perjury charges if he gives false statements. Imagine if we'd known then just a fraction of what we know now, like the November 2015 email exchange between Felix Sater, a Trump associate and convicted felon with ties to Russian organized crime, and the Trump lawyer Michael Cohen, recently the subject of an F.B.I. raid. Trump's legal team is reportedly back to negotiating terms of a one-on-one interview with Mueller, after previously indicating the president would refuse the request.