President Trump addresses a joint news conference with Jordan's King Abdullah II in the Rose Garden of the White House on April 5. (Jabin Botsford/The Washington Post)

President Trump suggested without evidence Wednesday that Susan E. Rice, former national security adviser in his predecessor’s administration, may have committed a crime in requesting the identities of Trump campaign associates that were contained in classified intelligence reports.

“I think it’s going to be the biggest story,” Trump told the New York Times in an interview at the White House. “It’s such an important story for our country and the world. It is one of the big stories of our time.”

“Do I think? Yes, I think,” he said, when asked whether Rice had committed a crime.

Rice served as the national security adviser to President Barack Obama from 2013 to 2017 and was one of several senior national security officials authorized to request the identity of U.S. persons who appear in classified intelligence reports. Those names are redacted and minimized, or “masked,” to protect the privacy of American citizens, permanent residents and other entities caught up in the legal surveillance of foreigners. U.S. persons cannot be surveilled without a warrant, but the “unmasking” of such names can be requested if it is necessary for a national security purpose.

Rice declined to comment through a spokeswoman: “I’m not going to dignify the President’s ludicrous charge with a comment.”

Trump, his aides and other Republicans have suggested that Rice requested the information for political purposes and leaked them in news media reports. This week on Twitter, Trump called attention to a link on the Drudge Report, a conservative website, that described Rice as having ordered “spy docs” on him.

In an interview on Tuesday, Rice denied the allegations.

“I leaked nothing, to nobody, and never have and never would,” Rice said on MSNBC. “The allegation is that somehow Obama administration officials utilized intelligence for political purposes.”

“Absolutely false,” she added.

Rice may now face an inquiry by the Senate Intelligence Committee, which is looking into Russian interference in the 2016 election. The committee’s chairman, Sen. Richard Burr (R-N.C.), said that Rice may be interviewed as part of the committee’s work.

Rice has said that the pace of intelligence reports on Russian meddling increased beginning in the summer of 2016.

Trump’s comments on Wednesday also pointed to a larger conspiracy, that would include other Obama administration officials.

There is no evidence that Rice improperly requested that names be unmasked.

House Intelligence Committee Chairman Devin Nunes (R-Calif.) first suggested that he had seen intelligence reports that contained the identities of Trump associates, including some where the names were masked but were easily identifiable.

Those reports, which Nunes revealed in a news conference and were the foundation for a briefing he provided to the president, were uncovered by National Security Council officials working in the White House who, The Washington Post reported, secretly passed them on to Nunes.

Trump has also claimed, without evidence, that Obama ordered a wiretap of Trump Tower during the election. Democrat and Republican lawmakers continue to say no evidence supports this claim.

Adam Entous contributed to this report.