Murray, who is understood be suffering from light symptoms, was expected to travel to Melbourne on one of the 18 charter flights laid on by tournament organisers but has now been forced to self-isolate at home.
The former world No 1 still harbours hopes of competing at the year’s first grand slam, which has already been delayed until 8 February due to quarantine restrictions in Australia.
Murray had been training at the National Tennis Centre in Roehampton, where there is said to have been a small outbreak of the virus, with fellow Briton Paul Jubb also testing positive.
The 33-year-old’s representatives are now in discussions with Australian Open director Craig Tiley to try and coordinate an acceptable solution that would still allow him to participate.
Months of exhaustive negotiations have already taken place between organisers and the Australian government to allow over 1,000 players to enter the country next month.
Players are expected to begin travelling to Australia this week and must complete a two-week quarantine upon arrival. They have, however, been granted a dispensation to practise for five hours a day.