A woman who visited popular Melbourne shopping destinations last week has been diagnosed with measles, prompting authorities to issue a public warning.

Earlier this year, eleven people contracted the disease after an outbreak at a Docklands office building, but the new case is not believed to be linked.

Deputy chief health officer Dr Brett Sutton said while the woman was now recovering at home, she visited a number of places last week while still infectious, making repeated journeys on the number 19 tram, which runs between North Coburg and the city.

The places she visited include: