Pupils in 3GQ and 5DW at Leasowes Primary School have previously been asked to not return to school until November 18.
Meanwhile pupils in Year 6 have been asked to stay at home until November 23.
And more recently another group of pupils have been told to self-isolate until November 26 after contact with someone who has since tested positive for coronavirus.
In a letter to parents the school says: "We have been made aware of several members of our school community who have tested positive for Covid-19.
"We know that you may find this concerning but we are continuing to monitor the situation and are working closely with Public Health England."