"There were meetings at the Justice Department at which it was discussed whether the vice president and a majority of the Cabinet could be brought together to remove the president of the United States under the 25th Amendment," Pelley said.
"These were the eight days from Comey's firing to the point that Robert Mueller was appointed special counsel," Pelley added. "And the highest levels of American law enforcement were trying to figure out what do with the president."
In a statement to reporters Friday, McCabe's spokeswoman, Melissa Schwartz, said that McCabe himself did not participate in any discussions about using the 25th Amendment:
"Certain statements made by Mr. McCabe, in interviews associated with the release of his book, have been taken out of context and misrepresented. To clarify, at no time did Mr. McCabe participate in any extended discussions about the use of the 25th Amendment, nor is he aware of any such discussions. He was present and participated in a discussion that included a comment by Deputy Attorney General Rosenstein regarding the 25th Amendment. This anecdote was not included in The Threat, Mr. McCabe has merely confirmed a discussion that was initially reported elsewhere."
The 25th Amendment dictates that the vice president shall become president when the president is removed from office or dies in office, and that the vice president shall become acting president when the president is temporarily unable to perform his or her duties.
Section 4 of that amendment states that the vice president and a majority of either the Cabinet or "such other body as Congress" may make the vice president the acting president when they inform the Senate's president pro tempore and the speaker of the House that "the President is unable to discharge the powers and duties of his office."
Pence, during an interview with NBC News on Thursday, said he was never aware of any discussion of invoking the 25th Amendment to remove Trump from office.
"I've never heard any discussion of the 25th Amendment by members of the government and I would never expect to," Pence said. "Frankly I find any suggestion of it to be absurd."
McCabe's interview with "60 Minutes" is part of a promotion effort for his new book, "The Threat: How the FBI Protects America in the Age of Terror and Trump."
McCabe was fired last March by then-Attorney General Jeff Sessions, who said at the time that both the Justice Department's Office of the Inspector General and the FBI's own internal watchdog had found McCabe made "an unauthorized disclosure to the news media," and "lacked candor — including under oath — on multiple occasions."
Pelley said Thursday that McCabe confirmed prior reports that Deputy Attorney General Rod Rosenstein offered to wear a recording device during his meetings with Trump. The Justice Department has said Rosenstein's offer was a sarcastic one.
But Pelley said McCabe told him that the offer "came up more than once and it was so serious that he took it to the lawyers at the FBI to discuss it."
On Thursday, the Justice Department reiterated its denial of McCabe's claims about Rosenstein, and said that Rosenstein did not believe there were any grounds to remove Trump from office via the 25th Amendment.
"The Deputy Attorney General again rejects Mr. McCabe's recitation of events as inaccurate and factually incorrect," the Justice Department said in a statement.
"The Deputy Attorney General never authorized any recording that Mr. McCabe references. As the Deputy Attorney General previously has stated, based on his personal dealings with the President, there is no basis to invoke the 25th Amendment, nor was the DAG in a position to consider invoking the 25th Amendment."
The same statement noted that the Justice Department's inspector general "found that Mr. McCabe did not tell the truth to federal authorities on multiple occasions, leading to his termination from the FBI."
Trump personally blasted McCabe on Thursday in back-to-back tweets.