A senior police spokesman confirmed Monday the unnamed officer met with his commanding officer last Friday.
Cmdr. Ian Lafreniere says the matter will be dealt with internally this week.
A video shot by a passerby and posted to YouTube shows part of the interaction between the officer and the homeless man.
The officer can be heard saying that if another citizen complains to police about the man he would "tie him to a pole for an hour."
The homeless man was wearing only a short-sleeved T-shirt and jean shorts that reached his calves.
Lafreniere describes the officer in question as a "good cop" who made an unacceptable comment.
"The Montreal police were not happy with the words that were used,'' Lafreniere said Monday. ''It was not acceptable. This is a good police officer and we know he tried to do everything to help out the homeless person."
Lafreniere said last week the sanctions could range from a verbal warning to a suspension.
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