As well as Eaton Grange House, the site includes a smaller building known as the Coach House.
Under plans lodged for the site, Eaton Grange House, a locally-listed building, would be partly demolished and converted into seven apartments.
The Coach House would be converted and extended into a single house.
And new apartment and townhouse buildings would be constructed, giving a total of 25 new homes.
In documents lodged on behalf of the applicants by Norwich-based Lanpro, they state that, with the government signalling it will change the threshold under which developers must provide affordable housing, there is unlikely to be a requirement to provide such housing on the site.