SDL Bigwood have put a 16 December noon deadline on offers for the 16,788 sq ft Carnegie Centre in Hockley.
The property on Hunters Road is for sale for offers based on the guide price of £500,000 but will go to the highest bidder with unconditional offers in writing being accepted up to the last minute.
The Carnegie Centre is situated within the Lozells and Soho Hill conservation area, and was previously occupied by the NHS for medical and administration purposes.
SDL Bigwood associate partner James Carver said the property may be suitable for alternative uses, subject to the purchaser obtaining any necessary planning permission or other required consents.
"This is an interesting opportunity in a location that is ideal for those working in the city," he said.
The Carnegie Centre has easy access on to the A41 Soho Road with the city centre 1.5 miles away and Junction 1 of the M5 in approximately three miles.
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