A 'small' number of students are self-isolating after a member of Dover Park Primary School's community tested positive.
The Isle of Wight Council says a Year 2/3 bubble will need to stay at home as a precaution.
It only affects vulnerable children or the children of critical workers - as the school is shut to other students.
The pupils will be able to access remote learning 'immediately' from home.
An Isle of Wight Council spokesperson said:
“A member of the Dover Park Primary School community has tested positive for Covid-19. Public health has offered advice and consequently a small number of vulnerable and key worker students that had been attending school in the Year 2/3 bubble will need to self-isolate until 19 January as a precautionary measure.
“High-quality remote learning is already being provided for the children of these year groups throughout this time, and these students will be able to access this immediately. The other bubbles remain open for vulnerable children and the children of critical workers.”