Former CIA Director John BrennanJohn Owen BrennanTrump lashes out at former intel officials for criticism of Iran tweet Trailer shows first look at Annette Bening as Dianne Feinstein Webb: Questions for Robert Mueller MORE suggested in an interview Tuesday that he "wouldn't be surprised" if special counsel Robert MuellerRobert (Bob) Swan MuellerLewandowski says Mueller report was 'very clear' in proving 'there was no obstruction,' despite having 'never' read it Fox's Cavuto roasts Trump over criticism of network Mueller report fades from political conversation 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 TrumpTrump conversation with foreign leader part of complaint that led to standoff between intel chief, Congress: report Pelosi: Lewandowski should have been held in contempt 'right then and there' Trump to withdraw FEMA chief nominee: report 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."