Rep. Trey Gowdy, R-S.C., says he's taking himself out of the picture in President Trump's search for a new FBI director.

Gowdy announced his intention in a Monday release, saying he shared with Attorney General Jeff Sessions, "my firm conviction that I would not be the right person," to lead the bureau. He had met with Sessions twice in the last three days.

The fourth-term congressman is known for his prosecutorial style when questioning witnesses before the panels such as the House Intelligence Committee, on which Gowdy currently serves.

Others still rumored to be in the running are the current Acting FBI Director Andrew McCabe, former congressman and Chairman of the House Intelligence Committee Mike Rogers of Michigan. Sen. John Cornyn, R-Texas, also appears to be a leading contender and has been interviewed by Sessions for the job.

While on Air Force on this Saturday, President Trump told reporters that his administration hoped to have made their choice for the position by the end of this week.

Meanwhile, more Democrats are calling for an independent prosecutor because of the president's firing of former director Jim Comey, and two Democrats in the House have called for President Trump to be impeached.

"Our country and the women and men of the FBI deserve a Director with not only impeccable credentials but also one who can unite the country as we strive for justice and truth," Gowdy said in his release. "I am confident that person will emerge."