Supermarket chain Morrisons is seeking a licence for a new petrol station at Dalton Park.
The retailer has applied for permission to sell alcohol and hot food from the planned store in Murton up to midnight seven days a week.
According to papers lodged with Durham County Council, if approved, the scheme would permit booze from 6am every day.
Plans for a petrol station and supermarket to be added to the existing retail park were given the go-ahead by county planning chiefs in 2014.
The keys to the site were later handed to Morrisons as part of its £45 million expansion plans into Murton.
But in 2016 shoppers were left in limbo when the retailer put its plans on hold.
Dalton Park, which in recent years has added a cinema, a pub and several restaurants, is currently shut due to restrictions in place to limit the spread of COVID-19.
Morrisons has been contacted for further comment.
Comments on the proposals can be submitted to Durham County Council until Monday, June 8.
