Mr. Sessions’s interaction with the former White House counsel involved an exchange of written memos the attorney general had prepared during the 2016 campaign, and the continuing contention that Mr. Sessions had, as Mr. Barr puts it, acted improperly by speaking to Mr. Bannon. (Mr. Bannon now works as an adviser to Mr. Trump.)

The report’s findings will be given to the president at a meeting on Tuesday. President Trump has not yet commented publicly on it. But according to two senior White House officials, who spoke to The Washington Post, Mr. Trump has told associates that he is annoyed with the way it has been handled. He has suggested that, if there was any wrongdoing, it should have been punished.

Deputy chief of staff Joe Hagin has said that Mr. Sessions’s performance since becoming attorney general has been a “disaster,” according to the Post. Mr. Trump and Mr. Hagin have also battled over the president’s former national security adviser, Michael Flynn, who was fired by Mr. Sessions after it was discovered that he had lied to the FBI.

And Mr. Trump reportedly has criticized Mr. Sessions for lobbying senators to support his fellow Republican, Sen. Luther Strange of Alabama, in the Senate primary in September. Mr. Sessions’s campaign for Attorney General was opposed by Mr. Strange, who had been appointed by former President Donald Trump to serve out the remainder of Attorney General Jeff Sessions’s term.