President Trump Donald John TrumpBubba Wallace to be driver of Michael Jordan, Denny Hamlin NASCAR team Graham: GOP will confirm Trump's Supreme Court nominee before the election Southwest Airlines, unions call for six-month extension of government aid MORE reportedly asked an aide if Labor Secretary Alexander Acosta Alex Alexander AcostaFederal litigator files complaint alleging Labor secretary abused his authority Appeals court to review legality of Epstein plea deal Appeals court finds prosecutors' secret plea agreement with Epstein didn't break law MORE would make a good replacement for Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsGOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status MORE.

The inquiry came after the president saw Acosta on “Fox & Friends” one morning, The Washington Post reported.

However, it is unclear if Trump is truly considering Acosta for the job, given that the president has been prone to speculating about replacements for different officials, the newspaper noted.

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The president repeatedly criticized Sessions after the attorney general recused himself from the special counsel's investigation into Russian meddling in the 2016 election.

Trump reportedly wants to fire Sessions, but has been pressured to hold off as it might be damaging as the Russia investigation unfolds.

Several members of Trump’s team have left the White House in recent days.

Secretary of State Rex Tillerson Rex Wayne TillersonGary Cohn: 'I haven't made up my mind' on vote for president in November Kushner says 'Alice in Wonderland' describes Trump presidency: Woodward book Conspicuous by their absence from the Republican Convention MORE was pushed out earlier this month, and CIA Director Mike Pompeo Michael (Mike) Richard PompeoOvernight Defense: House Democrats unveil stopgap spending measure to GOP opposition | Bill includes .6B for new subs | Trump issues Iran sanctions after world shrugs at US action at UN Navalny calls on Russia to return clothes he was wearing when he fell ill US issues Iran sanctions to enforce UN action ignored by international community MORE was nominated to take his place.

Trump’s top economic adviser, Gary Cohn Gary David CohnGary Cohn: 'I haven't made up my mind' on vote for president in November Kushner says 'Alice in Wonderland' describes Trump presidency: Woodward book Former national economic council director: I agree with 50 percent of House Democrats' HEROES Act MORE, also resigned after Trump announced tariffs on imported steel and aluminum that he opposed. He will be replaced by the CNBC commentator Larry Kudlow, who is also an opinions contributor for The Hill.

Veterans Affairs Secretary David Shulkin David Jonathon ShulkinVA inspector general says former top official steered M contract to friend Schumer demands answers in use of unproven coronavirus drug on veterans Former Trump VA secretary says staffer found plans to replace him in department copier MORE is rumored to be the next Cabinet member out the door, although the White House has sent mixed messages on his status.

Trump has also gone after special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE on Twitter, calling his investigation a witch hunt and arguing that it should have never begun because there was no collusion between his campaign and Russia.

The White House, however, says Trump is not considering firing Mueller and will cooperate with his investigation.