ASBESTOS experts are due to move off site today at Sir Alex Ferguson's former primary school.
Hunter Demolition were working to demolish Broomloan Road school, in Govan, after a fire ripped through it in May.
The firm is removing three types of the substance, including two of the most dangerous forms - amosite and crocidolite.
Councillor Stephen Dornan called for action after hundreds of residents living near the derelict site were not told about the work.
The lethal fibres can cause lung cancer, respiratory problems and lead to inflammatory diseases.
Mr Dornan, who looks after the Govan ward, said the council should have warned locals to "at least close their windows".
He said: "The constituents should be fully informed, and if that helps to alleviate their concerns, why not do that?"
A spokeswoman for Glasgow City Council, said: "All works are being carried out within protective fencing and by contractors licensed by the Health and Safety Executive.
"The air quality in the area immediate to the site is being monitored for asbestos fibres. Results are all within acceptable thresholds."