In letters posted on St Luke's Primary School's website it confirmed pupils in years one, three, four and five were self-isolating.
It comes after the school closed for a deep clean for two days and reopened on Wednesday.
The school's year one pupils are self-isolating until Friday, October 23, after a positive Covid-19 case among the staff team. while the year three pupils will self-isolate until Thursday, October 22, after a positive case among the year group's staff team.
A child in year four has tested positive for the virus – with the rest of the year group isolating until October 23 as well.
And a sports coach has tested positive who has worked with the school's year five pupils. They will now self-isolate until October 23.
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A spokesman for the school said: "At St Luke’s the safety of our staff and pupils is incredibly important to us. We can confirm that during the past few days, a number of cases of Covid-19 amongst a small number of staff members have led the school to close down year group bubbles. This action has been precautionary.
"All remaining staff in the school and pupils have taken Covid tests and we are pleased to state that all tests taken by staff have returned negative.
"A very small number of pupils however have tested positive – they are asymptomatic. As a result of this information – the school has communicated with all parents and has directed pupils to self-isolate.
"All pupils are able to continue their learning from home using our virtual learning environment.
"We have been very grateful to parents and carers who have been supportive of the actions taken and are grateful for the swift response of the school. I want to thank all parents and carers for their support.”