President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE reportedly floated the possibility of firing Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsRoy Moore sues Alabama over COVID-19 restrictions GOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs MORE to White House aides this month, reigniting speculation over Sessions's future in the Trump administration.

Three administration sources told The Washington Post on Tuesday that Trump has raised the issue again within the past month amid his growing tensions with his attorney general.

The discussion, which the president reportedly had with aides and members of his legal team, ended with his attorneys again convincing Trump to hold off on firing Sessions until the special counsel investigation headed by 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 is completed.

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Rudy Giuliani, the former New York City mayor who serves on Trump's personal legal team, told the Post that Trump agreed with his position that any firing of Sessions should be avoided until Mueller's investigation concludes.

“If there is any action taken, the president agrees with us that it shouldn’t be taken until after the investigation is concluded,” Giuliani said.

Another attorney for the president, Jay Sekulow, declined to comment to the Post and deferred questions to Giuliani.

Some senators, however, suggested to the newspaper that Trump will ax Sessions sooner rather than later, possibly following the November midterms.

“Nothing lasts forever,” said Alabama Sen. Richard Shelby Richard Craig ShelbySenate to push funding bill vote up against shutdown deadline Senate GOP eyes early exit Dems discussing government funding bill into February MORE (R), who added that Trump and Sessions share "a toxic relationship."

“We wish the best for him, but as any administration would show, Cabinet members seldom last the entire administration, and this is clearly not an exception,” Missouri Sen. Roy Blunt Roy Dean BluntSenate to push funding bill vote up against shutdown deadline Social media platforms put muscle into National Voter Registration Day Senate GOP faces pivotal moment on pick for Supreme Court MORE (R) said, according to the newspaper.

Trump's reported discussion followed a tweet on Aug. 1 directly mentioning Sessions and urging the attorney general to shutter the ongoing special counsel investigation. Trump's former campaign chairman, Paul Manafort Paul John ManafortOur Constitution is under attack by Attorney General William Barr Bannon trial date set in alleged border wall scam Conspicuous by their absence from the Republican Convention MORE, was found guilty on eight counts last week, while Trump's longtime attorney Michael Cohen pleaded guilty to other charges.

“This is a terrible situation and Attorney General Jeff Sessions should stop this Rigged Witch Hunt right now, before it continues to stain our country any further,” Trump wrote in early August on Twitter. “Bob Mueller is totally conflicted, and his 17 Angry Democrats that are doing his dirty work are a disgrace to USA!”

Sessions responded to that tweet and other comments made by the president in a rare statement, pledging the Justice Department's neutrality on political matters.

“While I am Attorney General, the actions of the Department of Justice will not be improperly influenced by political considerations. I demand the highest standards, and where they are not met, I take action,” he said.

--Updated at 8:17 p.m.