Federal Health Minister Nicola Roxon says the nationwide strategy, including thermal scanners at international airports, was working, but she has conceded there may well be more cases but says everything possible is being done to ensure the virus does not take hold.
Australia's Influenza expert Dr Alan Hampson, who is also a World Health Organisation consultant, says there is no evidence that swine flu is on the loose in the general community as there is, as yet, no evidence of community-based transmission and there are a very small number of cases in Australia.
Dr Hampson says there are only a small number of people under suspicion and under investigation at the moment, and the fact that it is possible to contain these cases by home quarantine and contact chase, means that Australia's situation has not changed significantly at this stage.
Other recently reported cases include a baby from New South Wales - the nation's youngest case - who is the child of a 28-year-old woman who contracted the disease in the U.S. early this month - both have now recovered and are no longer considered infectious.
According to the World Health Organisation (WHO) as of the 21st May, 41 countries have officially reported 11,168 cases of influenza A(H1N1) infection, including 86 deaths.
Worse hit to date are Mexico with 3,892 cases including 75 deaths, the U.S. with 5,764 cases including 9 deaths, Canada with 719 cases including 1 death, Japan with 259 cases and no deaths.