Ford and his brother, Coun. Doug Ford, are expected to host their radio show, The City, at 1 p.m. ET on Newstalk 1010.
Deputy Mayor Norm Kelly told CBC News on Saturday that the mayor "will make an announcement" during the two-hour show.
On Thursday, police Chief Bill Blair confirmed in a news conference that investigators retrieved a video from a seized hard drive that features the mayor. Blair said the footage was "consistent" with descriptions of the mayor smoking crack cocaine, as reported by gossip website Gawker and the Toronto Star.
Coun. Adam Vaughan has been among the councillors calling for Ford to relinquish his post and seek professional help.
Supporters remain loyal
"Clearly there are some significant issues in his private life that need attention," said Vaughan, a frequent Ford critic. "He's always criticized us for saying that thugs be hugged, but I think it's time for this thug to get a hug."
Coun. Shelley Carroll has also urged the mayor to step down.
"I'm talking as a longtime opponent of the mayor, but people who love this man — out of love — are now saying, 'You have to take a leave of absence so you can think clearly how to resolve these issues,'" she said.
The base of pro-mayor voters known colloquially as "Ford Nation," meanwhile, aren't convinced the mayor needs to answer for anything.
Nancy Mueller, a Ford supporter in his home base of Etobicoke, is already looking forward to next year's election.
"Not only will I support him, I'm going to get out and work extra hard for him this coming year," she said.