Rudy Giuliani on Wednesday said President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE’s legal team has not yet decided whether the president will agree to an interview with 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, despite previously suggesting he’d know by July 4.

CBS News reported that Giuliani remained unsure whether the interview will take place. He has previously said he believes it is unlikely.

"Jay [Sekulow] and I want to keep an open mind. We’re leaning toward not [doing an interview]," Giuliani said last month on ABC's "This Week."

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"But look, if they can convince us that it will be brief, it will be to the point, there were five or six points they have to clarify, and, with that, we can get this long nightmare for the American public over," he added.

Giuliani said at the time that Trump's history of contradicting himself in public statements is another reason "you don't let the president testify."

Trump has previously said publicly he'd be willing to do an interview with Mueller's team.

Giuliani, who joined Trump’s legal team in April, has said he’d take Mueller to court if the special counsel attempted to subpoena Trump as part of the investigation into Russian interference in the 2016 election.

Giuliani has in the past given other deadlines in the Mueller probe without any apparent way to back them up. He has said Mueller assured him the investigation would conclude in September, though the special counsel has not commented publicly on the ongoing probe.

Mueller has thus far indicted or obtained guilty pleas from four former Trump associates and filed charges against 13 Russian nationals.

The president and his allies have continually labeled the investigation a "witch hunt" and a "hoax."