WASHINGTON (NYTIMES) - President Donald Trump said on Wednesday (April 5) that he thought that the former national security adviser Susan Rice may have committed a crime by seeking the identities of Trump associates who were mentioned on intercepted communications and that other Obama administration officials may also have been involved.

"I think it's going to be the biggest story," Trump said, in an interview in the Oval Office, declining repeated requests for evidence for his allegations or the names of other Obama administration officials.

"It's such an important story for our country and the world. It is one of the big stories of our time."

He declined to say if he had personally reviewed new intelligence to bolster his claim but pledged to explain himself "at the right time."

When asked if Rice, who has denied leaking the names of Trump associates under surveillance by US intelligence agencies, had committed a crime, the President said, "Do I think? Yes, I think."

Rice has denied any impropriety.

In an interview on Tuesday with MSNBC, she said: "The allegation is that somehow the Obama administration officials utilised intelligence for political purposes. That's absolutely false."

Trump criticised media outlets, including The New York Times, for failing to adequately cover the Rice controversy - while singling out Fox News and the host Bill O'Reilly for praise, despite reports this week that the veteran conservative commentator settled five lawsuits filed by women claiming sexual harassment or inappropriate behaviour.

The President then went on to defend O'Reilly, who has hosted him frequently over the years.

"I think he's a person I know well - he is a good person," said Trump, who during the interview was surrounded at his desk by a half-dozen of his highest-ranking aides, including economic adviser Gary Cohn and chief of staff Reince Priebus, along with Vice-President Mike Pence.

"I think he shouldn't have settled; personally I think he shouldn't have settled," said Trump. "Because you should have taken it all the way. I don't think Bill did anything wrong."