Spicer also refused to rule out a potential end to White House briefings, which Trump threatened on Twitter on Friday.
The prospect of secret recordings of White House meetings harkens back to the Nixon administration, when President Nixon taped Oval Office meetings.
But in his latest interview, Mr Trump accused the Mr Comey of giving his opponent a "free pass" at a time when many of his supporters were pressing for the Mrs Clinton to be jailed.
Under fire over Mr Comey's abrupt dismissal last week, the USA president told Fox News host, Jeanine Pirro, that he held off doing so to avoid the controversy overshadowing his inauguration.
"I guess I was a little bit surprised, because all of the Democrats, I mean, they hated Jim Comey", Trump said.
In his interview with NBC, Mr. Trump said he didn't ask Mr. Comey to drop the investigation.
The decision is subject to confirmation by the U.S. Senate, where Republicans have a majority. The investigation was gaining momentum as Mr. Trump struck. Russian Federation has denied interfering in the election, and Mr. Trump and his staff have dismissed allegations that members of his campaign colluded with Russian Federation to influence the outcome. Russian Federation denies the claims and the White House says there was no collusion. While Comey turned down a request to testify this coming Tuesday, a "close associate" of Comey's did tell The New York Times he is willing to go before the Intelligence Committee, he just wants the testimony to be public. He was the USA attorney for the Southern District of NY from 2005-2008. He said at that dinner, Comey told him he was not under investigation. His name was floated as a possible replacement for then-FBI Director Robert Mueller in 2013, and he received support from an association of FBI agents before President Barack Obama chose Comey.More news: It seems not even concussion spotters can save players from themselves
Comey again promised his "honesty", but did not pledge loyalty, the Times reported.
The U.S. Senate's No. 2 Democrat, Richard Durbin, slammed the president after Friday's tweet about Comey. "I think it's a good idea". "He's unsafe because he may be obstructing justice in terms of the investigation. and secondly his credibility has been destroyed".
Mason added that the White House Correspondents' Association would object to anything that could threaten those constitutionally-protected principles.
"As a very active President with lots of things happening, it is not possible for my surrogates to stand at podium with flawless accuracy!" he tweeted early Friday morning.
"Maybe the best thing to do would be to cancel all future "press briefings" and hand out written responses for the sake of accuracy???"
"I think the process is going to move quickly because nearly all of them are very well-known, they've been vetted over their lifetime essentially", he said.
He said he never pressured Comey into dropping the Federal Bureau of Investigation probe, adding: "If Russia did anything, I want to know that".