Land Securities, which owns the shopping centre, has submitted an application to Glasgow City Council.
Conservative group leader Thomas Kerr has written to the city treasurer calling for a council tax 'moratorium'.
Reversal comes after Glasgow secured extra funding from the Scottish government.
Crime minister Kit Malthouse branded plans for a safe injecting facility in Glasgow 'a distraction'.
Local authorities in Scotland's two biggest cities agreed their budgets on Thursday.
Councillors approve plan to completely transform Glasgow's civic centre.
Get Glasgow Moving has received support from thousands of residents since it launched the petition in June.
Worried residents flagged up discarded needles in the Anderston/City/Yorkhill ward on 234 occasions.
Emergency services sealed off a Glasgow road after the alarm was raised on Tuesday afternoon.
