Contact tracing has been rolled out at Wallacewell Primary in Robroyston, parents have been informed.
Parents and carers of children at the school received a letter from NHS Greater Glasgow and Clyde yesterday.
The letter states the NHSGCC is working closely with the school and local authority to "carry out a risk assessment to establish a list of close contacts within the school".
It also states "close contacts are being advised to self-isolate as a precaution" and that there is no control of evidence of transmission within the school itself.
Yesterday, Nicola Sturgeon also confirmed a further 697 positive COVID-19 cases were recorded in the previous 24 hours.
There were no new deaths reported, meaning the country's death toll remains at 2,530.
