Rumors also swirled around Washington that Trump was considering firing Mueller.
President Donald Trump and his associates are trying to draw attention to the relationship between special counsel Robert Mueller and former FBI Director James Comey. I mean, we're going to have to see in terms - look, there has been no obstruction. There has been no collusion.
The tapes saga began in May, just days after Mr Trump fired Mr Comey, who was then leading an investigation into Trump associates' ties to Russian officials.
While White House officials have said the firing was due to concerns about Mr Comey's actions at the Federal Bureau of Investigation, Mr Trump told an interviewer the Russian Federation investigation was one of his concerns in taking the action.
More Americans believe James Comey's version of events from his firing over the president's, a new poll has revealed.
"There's been no collusion, no obstruction and virtually everybody agrees to that", Trump told Fox, adding that Mueller "is an honorable man and hopefully he'll come up with an honorable solution".
"With all of the recently reported electronic surveillance, intercepts, unmasking and illegal leaking of information, I have no idea.whether there are "tapes" or recordings of my conversations with James Comey, but I did not make, and do not have, any such recordings", he wrote.
During his June 8 testimony before Congress, Comey said he kept memos of his conversations with Trump out of fear the president would lie about their meetings.
In a brief, two-paragraph letter to the leaders of the House and Senate Russia investigations, White House legislative affairs director Marc Short copied and pasted Trump's tweet onto formal letterhead. Representatives for Conaway and Schiff did not respond on Friday afternoon to queries about whether the White House had met the deadline to provide the materials. "Comey in particular think to himself, 'I better be honest, I better tell the truth about the circumstances regarding the situation, '" Spicer said.