Those Democrats, Reps. Elijah Cummings of Maryland and John Conyers of MI, also requested "all documents, memoranda, analyses, emails, and other communications relating to the President's decision to dismiss Director Comey - a decision which the president declared yesterday he planned to make "regardless of [Deputy Attorney General Rod Rosenstein's] recommendation" - and all discussions with Director Comey".
But about 11 people in all are being considered, USA media report. As the Post notes, this calls into question the credibility of not only press secretary Sean Spicer, but also Vice President Pence, principal deputy press secretary Sarah Huckabee Sanders, and counselor to the president Kellyanne Conway. If she is selected, Fisher would become the first female Federal Bureau of Investigation director.
Still, Trump's linking of the firing of Comey and the Russian probe underlines the importance of ensuring a thorough and credible investigation.
USA media quoted an unnamed White House official as saying that 11 candidates are being considered, including acting FBI Director Andrew McCabe.
Ms Fisher was an assistant attorney general for the justice department's criminal division. She now works at a law firm.
Trump appeared to threaten Comey on Friday morning, suggesting that there may be "tapes" of a January conversation between the two.
WH Official: NYT, WaPo Reports Are 'Coordinated Attack' on Trump
Attorney Nick Akerman, an assistant special prosecutor during Watergate, said building an obstruction case "comes down to intent". Watch the full report above. "I faced great pressure because of Russian Federation ".
Most notably, in response to Trump's threatening "tapes" tweet, someone close to Comey responded by saying he "hopes" there are tapes.
Trump fired FBI Director James Comey this week, and told NBC News that he did so out of frustration with the agency's continued investigation into alleged Russian efforts to interfere in the 2016 election.
Democrats criticized Trump's comments with some requesting a copy of the recordings. Did the president ever say anything to the director of the FBI that would be construed as trying to impede the investigation? Comey refused to do so, according to the report, instead pledging "honesty".
At first, the administration said that Rosenstein "made the recommendation, the president made a swift and decisive action and let Comey go".
Asked about the differing statements he and his White House offered, Trump said, "Well, that's an interesting situation", and admitted he toyed with the idea to stop White House press briefings.
Pressed by Pirro on whether he was seriously considering doing away with the press briefings, Trump suggested he would conduct them in a "different way" - either giving the press "a piece of paper with a perfectly accurate, attractive answer", or holding them himself.