A construction worker on a Parkville building site has tested positive for coronavirus, in what may become a pressure point in the building industry's bid to remain open while other industries are forced to shut down.

Kane Constructions confirmed on Thursday that a subcontractor at its Melbourne University "New Student Precinct" site had been diagnosed with the virus.

The worker had returned from a trip to England in early March, and was on site for two days – March 11 and 12 – before becoming sick.

Part of the construction works at Melbourne University. A construction worker from the Melbourne University building site has tested positive to COVID-19 Credit:Chris Hopkins

The company worked with health authorities to track down those who had been in close contact with the man. Two men who had worked closely alongside him are now self-isolating, although neither has shown signs of having coronavirus.