Media reports say Norm Kelly had a one-on-one meeting with Ford, and Kelly told several media outlets on Saturday that the mayor would have an "announcement" but did not elaborate.
Ford and his brother Coun. Doug Ford were to host their weekly Toronto radio show Sunday, Newstalk 1010 program director Mike Bendixen confirmed on Twitter on Saturday.
He added Ford will address "some of the news from this week" on air.
Kelly said Friday that concerns have been raised by councillors "from both sides of the spectrum" after police announced they had recovered a video that allegedly appears to show Ford smoking crack cocaine.
Kelly wouldn't be specific but told reporters Friday they "already know the concerns."
The deputy mayor said he hoped Ford will listen very carefully and look at the concerns "through the eyes of the people of Toronto, his colleagues on council and himself and his family."
He would not elaborate on what decision Ford should make, saying it's up to the mayor.
Reporters caught Ford leaving his city hall office before the meeting with Kelly on Saturday afternoon.
"I told you before I'm not resigning," Ford said before getting into an elevator.
On last weekend's edition of his radio show Ford spoke enthusiastically of campaigning in next year's city election.
Toronto police Chief Bill Blair announced Thursday that police had found video images "which appear to be those images which were previously reported in the press."
Two media outlets reported that it appeared the mayor was smoking crack cocaine.
After reports of the alleged video first surfaced in the Toronto Star and the U.S. website Gawker in May, the mayor said he does not use crack cocaine and that the video does not exist.
Police allege a friend of the mayor, Alexander Lisi, tried to get his hands on the video. He has been charged with extortion.
Ford said Thursday he could not comment because the matter is before the courts but said he sees "no reason to resign."
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