The first interviews to find a replacement for fired FBI Director James Comey take place on Saturday.
Meanwhile, President Trump is facing growing questions about whether he secretly recorded his conversations with Mr Comey.
Fisher was spotted leaving the Robert F. Kennedy Department of Justice Building in Washington Saturday morning after a 90-minute sitdown.
Lawmakers are urging the president to steer clear of appointing any politicians.
President Donald Trump is considering almost a dozen candidates to succeed ousted FBI Director James Comey, choosing from a group that includes several lawmakers, attorneys and law enforcement officials.
Trump on Tuesday fired FBI Director James Comey.More news: WWDC 2017: Release of iOS 11 Rumors Around September
Huckabee Sanders isn't the only White House official who has posted tweets about FBI investigations that are very awkward in hindsight.
Later, however, deputy press secretary Sarah Huckabee Sanders said that Trump had actually been considering firing Comey for months, and that he had asked Sessions and Rosenstein for their recommendations.
"For a president who baselessly accused his predecessor of illegally wiretapping him, that Mr. Trump would suggest that he, himself may have engaged in such conduct is staggering", Schiff said.
Writing unsubstantial, provocative tweets while simultaneously overseeing the significant process of choosing a director for the F.B.I., there is a growing move to hold Trump to account.
Meanwhile, it seems the president can not help but make the most significant political crisis in a generation even worse, insinuating that he possesses taped recordings of conversations between Comey and himself.
As has happened on previous occasions since Trump took office, different versions rapidly circulated of an event - in this case phone conversations between Comey and Trump and a dinner they had at the White House.More news: Melissa McCarthy's funniest 'SNL' moment had nothing to do with politics
"James Comey better hope that there are no "tapes" of our conversations before he starts leaking to the press!"
The next day, however, Trump said he had been considering firing Comey for a while, and that Rosenstein's memo had sealed the deal.
Trump's confidants have reportedly been pointing out to him that his approval ratings are not seeing any improvement - as of Saturday, the president has a 56% disapproval rating and a 39% approval rating, according to Gallup.
Media captionWhat do Trump supporters think about Comey's firing? "He essentially said, if you assure me that this meddlesome Russian Federation investigation will go away, maybe I'll keep you on".
Trump confidants say Bannon has been marginalized on major decisions, including Comey's firing, after clashing with Kushner.
Republican Senator Lindsey Graham told NBC on Sunday that Trump should turn over any tapes he has of his conversations with the former Federal Bureau of Investigation chief. When the opposite occurred, Trump grew incensed - both at Democrats and his own communications staff for not quickly lining up more Republicans to defend him on television. Aides said Trump does not believe his team gave contradictory stories about his decision to fire Comey, despite the fact that the White House's explanation changed dramatically over a 48-hour period.More news: Pep Guardiola looks on the bright side