The 58,200 sq ft block in The Strand, Liverpool, is one of the lots available at the next Eddisons auction in Manchester on 9 December.
Wellington Buildings is within the Unesco World Heritage site and is being sold on behalf of LPA Receivers. The guide price is on application to the auctioneer.
The part-let property currently generates annual income of £48,850.
Wellington Buildings is one of 134 lots available through Eddisons' final auction of the year.
Also in Liverpool, a tenanted commercial property on Prescot Road in Old Swan producing £33,200 a year is available for £275,000.
A tenanted commercial investment in the centre of Leigh generating annual income of £76,675 has a guide price of £775,000 to £825,000.
An industrial building on the Globe Lane Industrial Estate in Dukinfield producing £40,000 each year has a price of £180,000.
The auction takes place at the Premier Inn, Trafford Park, Manchester.