On Friday, Metropolitan Police Commissioner Sir Mark Rowley said he “wouldn’t be surprised” if more people came forward to make allegations against Brand.
Speaking on Radio 4’s Today programme, Sir Mark praised the “bravery” of the women who reported their allegations to police and gave evidence during the trial.
He said police would “do everything we can to bring to justice the powerful people who are responsible for probably the most ghastly moment in your life” when sexual assault allegations are made to them.
Prime Minister Andy Burnham has been asked about Labour’s past association with Brand.
Some party figures sought his support more than a decade ago, before police began investigating him.
At the time, Brand had gained a following for his left-wing political punditry.
Then Labour leader Ed Miliband was interviewed by Brand shortly before the 2015 election, and in 2014 Burnham publicly backed Brand during a row over claims about the comedian’s housing arrangements.
At the time he said it was “depressing to see media mission to discredit someone who stops playing their game” and urged Brand to “keep going”.
Speaking on Friday, Burham said: “It’s not always the case that people know everything about people in public life.”
He described Brand’s crimes as “horrific” and said he had been rightly held to account, adding: “I had no idea of the full extent of what he was doing.”
Brand is being held in custody ahead of his sentencing on Monday.
After the jury returned its verdicts, Mr Justice Bennathan told him to expect a “significant custodial term”.