WASHINGTON >> President Donald Trump said today that “we can make a fast decision” on a new FBI director, possibly by late next week, before he leaves on his first foreign trip since taking office.

“Even that is possible,” Trump told reporters when asked whether he could announce his nominee by Friday, when he is scheduled to leave for the Mideast and Europe.

At least six candidates to be the bureau’s director were in line for the first interviews with Attorney General Jeff Sessions and his deputy, Rod Rosenstein, at Justice Department headquarters. They are among more than a dozen candidates Trump is considering, a group that includes several lawmakers, attorneys and law enforcement officials.

“I think the process is going to go quickly. Almost all of them are very well-known,” Trump said aboard the plane that took him to Lynchburg, Virginia, where he gave the commencement address at Liberty University. “They’ve been vetted over their lifetime essentially, but very well-known, highly respected, really talented people. And that’s what we want for the FBI.”

The Trump administration is looking to fill the job, which requires Senate confirmation, after Trump abruptly fired Director James Comey on Tuesday.

The first candidate to arrive was Alice Fisher, a high-ranking Justice Department official in the George W. Bush administration. She left after about an hour and a half inside the building and declined to comment to reporters.

Among those interviewed was Adam Lee, special agent in charge of the FBI’s Richmond, Virginia, office. Acting FBI Director Andrew McCabe also interviewed for the permanent post despite his repeated willingness to break from White House explanations of Comey’s ouster and its characterizations of the Russia investigation. GOP Sen. John Cornyn, the No. 2 Senate leader and a former Texas attorney general, also interviewed.

Also interviewing today were Michael J. Garcia, an associate judge on New York’s highest court, and U.S. District Judge Henry E. Hudson, a George W. Bush appointee who struck down the centerpiece of the Obama administration’s health care law in 2010. That’s according to two people familiar with the search process who weren’t authorized to publicly discuss the deliberations and spoke on condition of anonymity.

Sessions has faced questions over whether his involvement in Comey’s firing violates his pledge to recuse himself from investigations into Russian interference in the election. Some lawmakers have alleged the firing was an effort to stifle that FBI probe.

Justice Department spokeswoman Sarah Isgur Flores said Sessions and Rosenstein are involved in the interviews because the FBI director reports to them as attorney general and deputy attorney general. They can make recommendations, but the president will ultimately make the hiring decision.

Meanwhile, the FBI Agents Association urged Trump to pick former Michigan Rep. Mike Rogers, saying his diverse background makes him the best choice for the job. Rogers is the former chairman of the House Intelligence Committee who also worked as an FBI special agent based in Chicago in the 1990s. He did not interview Saturday, but his name is on the list of people Trump is considering.

Fisher formerly served as assistant attorney general for the Justice Department’s Criminal Division. She faced resistance from Democrats during her confirmation over her alleged participation in discussions about detention policies at the Guantanamo Bay facility in Cuba.

The FBI has never had a female director.

Lee, a longtime agent, has worked in a variety of positions within the bureau, including as section chief of the Public Corruption and Civil Rights Section, investigating some of the highest profile cases against government officials and civil rights violations in recent years.

Hudson earned the nickname “Hang ‘Em High Henry” for his tough-on-crime stand as a federal prosecutor and on the bench.

Garcia, a former New York prosecutor, held high-level positions in the Commerce Department, the Justice Department and the Department of Homeland Security.