Former FBI Deputy Director Andrew McCabe said Tuesday that no congressional leaders voiced objections when he told them in May 2017 that the bureau had opened a counterintelligence investigation into President Donald Trump.

McCabe's comments came as he goes on a publicity blitz to promote his memoir, "The Threat: How the FBI Protects America in the Age of Terror and Trump," which was published Tuesday. Trump has increased his attacks on McCabe, suggesting the former FBI official was in on a "treasonous" plot against him.

McCabe writes in his book that the briefing for the "Gang of Eight" leaders in Congress came days after Trump fired FBI Director James Comey, making McCabe acting director of the bureau at the time. Deputy Attorney General Rod Rosenstein told the bipartisan group of lawmakers in that meeting that special counsel Robert Mueller had been appointed to continue the Russia investigations, according to McCabe.

In an interview on NBC's "TODAY" on Tuesday morning, McCabe elaborated by saying he had informed the leaders that the FBI had opened a counterintelligence probe into Trump himself.

"The purpose of the briefing was to let our congressional leadership know exactly what we'd been doing," McCabe said when asked specifically if he told Congress about the investigation into the president.

"Opening a case of this nature, not something that an FBI director, not something that an acting FBI director would do by yourself, right? This was a recommendation that came to me from my team, I reviewed it with our lawyers, I discussed it at length with the deputy attorney general," McCabe said, "and I told Congress what we had done."