Mueller, a former highly decorated FBI director, has already interviewed several of the close aides and family members of Trump over the issue.
In the last one week, news reports have appeared in the US media that Mueller was seeking an interview with Trump as part of his investigation.
Trump's attorneys were said to have asked whether it could be in the written format.
"We'll see what happens. I mean, certainly I'll see what happens. But when they have no collusion and nobody's found any collusion at any level, it seems unlikely that you'd even have an interview," Trump said.
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He termed the allegations as a "Democratic hoax brought up as an excuse for losing an election".
"The Democrats should have won, because they have such a tremendous advantage in the Electoral College," the US president said.
He denied any coordination between the Trump Campaign and Russia during the presidential election.
The US president said he will speak to his attorneys regarding the issue.
He ridiculed Hillary Clinton, her opponent in the elections, for being interviewed by the FBI in the email case in 2016.
"And when you talk about interviews, Hillary Clinton had an interview where she wasn't sworn in. She wasn't given the oath. They didn't take notes. They didn't record. It was done on the 4th of July weekend. That is perhaps ridiculous, and a lot of people looked upon that as being a very serious breach. And it really was," Trump said.
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