But some residents have already fled the flats, fearing they could catch it. There are worries that they could be carrying the virus and could spread it to other parts of the community.
SARS is mainly affecting people who live in Hong Kong, Singapore, Vietnam and China, but some cases have also been spotted in the US, UK and Canada.
But it's important to remember that only four per cent of the people who get the virus die from it, which is quite low.
And there are only three possible cases of the disease in the UK. All three patients are being looked after in specialist hospitals, and they've all had close contact with someone who lives in the Far East recently.