The construction of a new Carlisle Sainsbury's store being built on the former Gates Tyres site on Scotland Road in Stanwix is likely to start next month.
Newcastle-based Kans & Kandy, the firm behind the £1.5m project, said the discovery of Roman relics at the site is unlikely to significantly delay the scheme by more than a few weeks.
The artefacts uncovered included pottery, a Roman well, and a courtyard.
Kans & Kandy confirmed it is now involved in the final stages of selecting a firm to do the building work.
The scheme will create a 5,000 sq ft Sainsbury's local store as well as nine flats above the shop, together with a further 1,000 sq ft of space for a secondary store.
The original plans for the project were turned down by planners but that decision was overturned on appeal.
Objectors were worried about traffic and the scale and size of the building.
Sainsbury's also has plans for a large £40m superstore on Caldewgate, which could create up to 500 jobs.