Central England Co-op has announced plans to close three warehouses and a garage, saying workers will be offered other jobs within the business.
The society said up to 400 jobs are affected at warehouses in Leicester and a garage on the outskirts of the city in Whetstone.
The business, based in Lichfield, in the West Midlands, has more than 400 supermarkets, shops and funeral homes in central England and East Anglia.