A childcare centre in Melbourne’s north-east is remaining open despite both parents of a child who attends testing positive to coronavirus.

Chief executive of the Guardian Childcare and Education Centre, Warren Bright, sent out a letter on Tuesday informing all families that one of the child’s parents attended the childcare centre in East Ivanhoe on March 10, 12 and 13.

He said the Victorian Health Department had advised him that the risk of transmission to children and other families was low.

"This family has now gone into isolation and as per Victoria Health advice are monitoring their condition," the letter, seen by The Age, says.