ST. PAUL, Minn. -- We could find out President Donald Trump's pick to lead the Federal Bureau of Investigation as early as this week.

According to the Associated Press, Trump told reporters, "Even that is possible," when asked whether he could announce his nominee by Friday.

The search for a permanent replacement comes after Trump fired James Comey on Tuesday.

"I think right now there's significant concern about whether or not Comey was fired because he wasn't loyal to Trump or that he was undertaking an aggressive investigation into Russian ties," said David Schultz, a political science professor at Hamline University.

Schultz added, "You have to figure out how this FBI director can be truly independent when now Trump is going to be able to appoint him/her."

The Associated Press reports at least eight candidates interviewed at Justice Department headquarters on Saturday including acting FBI Director Andrew McCabe.

Related: Trump expects 'fast decision' on FBI director replacement

The position requires Senate confirmation.

Senate Minority Leader Chuck Schumer (D-NY) said Sunday on CNN's "State of the Union" that the Senate should refuse to confirm a new director until the Department of Justice appoints a special counsel on the Russia allegations.

Sen. Lindsey Graham (R-SC) on "Meet the Press" Sunday said, "Trump's not a target of the investigation yet. Leave this investigation alone. Congress is doing a good job in my view. If it gets to the point where we can't, then we'll take it outside of Congress."

Schultz said whoever is selected by President Trump will face "intense pressure" in the Senate confirmation hearings "for fear for some people that he may or she may not have significant independence from Trump to be able to continue the investigations into alleged Russian ties."