"James Comey better hope that there are no "tapes" of our conversations before he starts leaking to the press!" he wrote on Twitter.
People close to the White House say that Pence knew the president was thinking about firing Comey before he met with Rosenstein on Monday.
The controversy began this morning, when Trump again took aim at the investigation into his administration and its potential ties to Russian Federation, while blasting the "fake media" and its coverage of the issue. "The FBI has been in turmoil".
Meanwhile, embattled White House press secretary Sean Spicer has been replaced so far this week by Sarah Huckabee Sanders after he was widely mocked for hiding in bushes after the Comey dismissal was announced.
Clint Watts, a former Federal Bureau of Investigation special agent, said on MSNBC that Trump's tweet threatening to leak conversations with Comey is causing government officials to say they can't trust the President's judgment.
Trump also reiterated his view that reports about collusion with the Russian government by members of his 2016 campaign were "fabricated". McCabe added that the "vast majority of employees enjoyed a deep and positive connection to Director Comey", and that it was "not accurate" to claim otherwise.
Republican Committee Chairman Richard Burr asked McCabe whether he ever heard Comey tell Trump the president was not the subject of investigation. Particularly eyebrow-raising was Trump's assertion that he had received three separate assurances from the FBI director that he is not now under investigation by the bureau.
The president denied have any "collusion" with Russian Federation during the 2016 presidential campaign.
"On Monday, the president met with the attorney general and the deputy attorney general and they discussed reasons for removing the director. Me, personally. I'm not talking about campaigns, I'm not talking about anything else".
Sanders again suggested that any Democrats critical of Trump's decision are hypocrites because they would have welcomed Comey's termination if it had come from a hypothetical President Hillary Clinton.
The next day, Ms Sanders said the president asked Mr Rosenstein to put his concerns in writing. "I went off of the information that I had when I answered your question".
"In ordering you to write the memo", the Times says, Trump "exploited the integrity you have earned over almost three decades in public service, spending down your credibility as selfishly as he has spent other people's money throughout his business career".