Wegmans, the popular New York-based supermarket chain, is set to open a new location in Medford, according to the city’s mayor.

Touting the economic development of Medford at his final “state of the city” address, longtime Mayor Michael J. McGlynn said that Wegmans had agreed to a lease at the Meadow Glen Mall, which is scheduled to undergo renovations soon.

Depending on its exact opening date, the new supermarket in Medford would likely be the sixth Wegmans location in Massachusetts, where the company is expanding quickly after initial delays. In addition to existing stores in Northborough, Newton, Burlington, and Westwood, Wegmans is planning to open a supermarket in Natick in 2017 and another in the Fenway neighborhood of Boston in 2019 or 2020.