Describing himself as a "very active president", Trump said it was becoming very difficult for his surrogates to explain things with perfect accuracy to reporters at the news conferences.
"...Maybe the best thing to do would be to cancel all future 'press briefings' and hand out written responses for the sake of accuracy???" Trump said in a series of tweets.
The president's advisers said this week that Trump fired Comey in response to a recommendation by Deputy Attorney General Rod Rosenstein.
Later, however, they said that Trump had planned to fire Comey regardless.
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Slamming the media, Trump said, "The Fake Media is working overtime today!"
Trump's comments came after acting FBI Director Andrew McCabe directly contradicted the White House's claims that the "rank and file" agents had lost faith in Comey.
"Director Comey enjoyed broad support within the FBI and still does to this day," McCabe said yesterday during testimony before the Senate Intelligence Committee.
"Again, the story that there was collusion between the Russians and Trump campaign was fabricated by Democrats as an excuse for losing the election," he said.
"When James Clapper himself, and virtually everyone else with knowledge of the witch hunt, says there is no collusion, when does it end?" Trump asserted.
Trump also warned sacked FBI chief Comey not to "leak" details of their conversations to the media, suggesting they may have been taped.
"James Comey better hope that there are no "tapes" of our conversations before he starts leaking to the press!" he said.
The suggestion to cancel briefings is not the first time the administration has threatened to limit media access.
Trump's aides had floated the idea of moving the media from the White House to the nearby Executive Office Building to accommodate media interest. However, the move was interpreted as a bid to limit media access.