Professor Dingwall told the Daily Express that it could be the most serious outbreak of the virus since the pandemic 50 years ago.
GPs do not prescribe antibiotics as they will not relieve symptoms or help recovery.
Aussie flu can lead to pneumonia and other potentially fatal complications.
Patients are advised to only go to their GP if their symptoms fail to improve after seven days, they are a child, over 65, pregnant or have a long-term medical condition or weakened immune system.
“We have quickly replenished our supply chain and flu vaccinations will be available (on Saturday).”
Experts have warned that this year’s strain of Aussie flu could be more dangerous than the 1968 flu pandemic that killed more than a million worldwide.
NHS trusts are failing to get medical workers to have flu jabs amid the warnings that the French epidemic could spread to Britain.
The arrival of so-called Aussie flu comes as NHS England urged hospitals to defer pre-planned operations and routine outpatient appointments until the end of the month.