Police say the Woolies worker had asked the shirtless man and his female partner to step behind a social distancing marker when an argument broke out and the man allegedly deliberately coughed on the staff member.
Now the hunt is on for the alleged offender, who police say could face two years jail if convicted.
Police Minister David Elliott said: 'This kind of dangerous behaviour needs to stop immediately. It's potentially putting the lives of workers and their families at risk.
'This isn't a time to practice poor hygiene habits. For a disgusting act like this, you could find yourself charged with common assault and jailed for up to two years.'
Police have asked the public to help them find the man, who’s described as being of Caucasian appearance, about 170 to 180cm tall with a shaved head and a goatee.
Anyone with information is urged to call Crime Stoppers on 1800 333 000.