No operator has yet been identified for the food store, which would be built behind the Thoroughfare and off Saxons Way.
The plans have received general agreement from residents, who say there is a need for an extra supermarket and it could bring people to shop in the town. Halesworth Town Council is also in favour provided some alterations are agreed, including to the setting and design of the building.
The plans were submitted last September by Hans House Finance Company Ltd, of Metfield, for a 1.4-acre site currently occupied by a number of buildings including retail and residential and part of a public car park.