Former CIA Director John BrennanJohn Owen BrennanWebb: Questions for Robert Mueller A brief timeline of Trump's clashes with intelligence director Dan Coats Trump critic Brennan praises his Iran decision: I 'applaud' him MORE suggested in an interview Tuesday that he "wouldn't be surprised" if special counsel Robert MuellerRobert (Bob) Swan MuellerTop Republican considered Mueller subpoena to box in Democrats Kamala Harris says her Justice Dept would have 'no choice' but to prosecute Trump for obstruction Dem committees win new powers to investigate Trump MORE hands down additional indictments at the end of the week, though he acknowledged he does not have inside knowledge.

Brennan said on MSNBC's "The Last Word" that he believes Mueller wants to hand over the threads of his investigation to prosecutors in the Southern District of New York and elsewhere.

"I wouldn't be surprised if, for example, this week on Friday, not knowing anything about it, but Friday is the day the grand jury indictments come down," Brennan said.

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The former CIA chief, who served during the Obama administration and has since emerged as a fervent critic of President TrumpDonald John TrumpUS-Saudi Arabia policy needs a dose of 'realpolitik' Trump talks to Swedish leader about rapper A$AP Rocky, offers to vouch for his bail Matt Gaetz ahead of Mueller hearing: 'We are going to reelect the president' MORE, added that Mueller may take into account that the following Friday, March 15, coincides with the Ides of March.

"I don't think Robert Mueller will want to have that dramatic flair of the Ides of March when he is going to be delivering what I think are going to be are his indictments, the final indictments, as well the report he gives to the attorney general," Brennan said.

He added that if Mueller indicts any members of the president's family, it would likely be his final act as special counsel.

Mueller has implicated six former Trump associates and dozens of Russians in his investigation into Russian interference in the 2016 election.

None of the charges have alleged conspiracy between the Trump campaign and Moscow, and the president has regularly decried Mueller's probe as a "witch hunt."