John McAslan and Partners was named the winner of the £15 million competition to redesign the central Glasgow square last month.
But, shortly afterwards, Gordon Matheson, the Glasgow City Council leader, announced they would not be proceeding, blaming public opposition to any radical changes.
Mr McAslan subsequently attacked the decision as "not that bright", because the council had spent more than £100,000 on the initiative.
And he began a counter offensive by launching his own public consultation, beginning with a speech to the public in George Square last week.
Mr McAslan now intends to draw up revised sketches as a result of feedback and will hold another informal public meeting later this month to discuss them.
The move comes as the council attempts to draw a line under the fiasco.
A report on the cancellation of the George Square redesign project will be presented to the council this week.
It is understood to include confirmation that senior officials are currently reviewing alternative refurbishment options.