The call follows the announcement from NHS authorities in Essex that a healthy patient has died from swine flu.
Previous deaths from swine flu had all been among patients with serious underlying health problems.
A total of 15 people have now died from the virus in the UK, with 13 of the deaths in England and two in Scotland.
Sir Liam added that despite the tragic death, the vast majority of people who have been infected by the virus have only suffered from mild symptoms.
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