Glasgow City Council said it hoped Lourdes Primary School in Cardonald would return to service in January after constructive talks with the builders Miller Construction.
A programme of repairs will be carried out over the next four weeks.
A spokeswoman said: "They have assured us the building work will be carried out as quick as possible. Our ambition is to have the school up and running by the beginning of January."
The school was opened in 2004 after a land-swap deal with Safeway, now Morrisons.
Safeway wanted the land occupied by the previous school and built a brand new school on land nearby.
However, an independent survey found wall head ties were missing in a number of locations.