Norm Kelly says he will relay concerns being expressed by councillors after police announced they had recovered a video that appears to show Ford smoking crack cocaine.
Kelly wouldn't specify those concerns, telling reporters only that "you know what they are."
But he says he hopes Ford will look at them "through the eyes of the people of Toronto, his colleagues on council and himself and his family."
He adds that he hopes Ford makes "the right decision," but would not say what that decision should be.
Kelly's staff says Saturday's meeting will be private with no media update expected until Monday.
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."
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."
After reports of the 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.
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