The building in Havelock Road has already been granted planning consent to turn the two floors into five self-contained flats.
It will be offered with a leasehold guide price of £350,000 to £360,000 by Clive Emson Land and Property Auctioneers.
Auction appraiser Chris Milne said: “This is an ideal opportunity for a builder or developer seeking a project which can be started quickly.”