Most of the building — which is used as a Royal Mail sorting office — is owned by Legal & General and the council is planning to sell its share of the property to the firm.
It bought part of the unit, on Baird Street industrial estate, by compulsory purchase order from Legal & General in November 2014 as part of the Sighthill regeneration project.
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A report by council officials states the “end terrace of the block” was acquired to enable the “development of the Sighthill Bridge and walkway”.
It adds a “large section of the unit was demolished and the land now forms the walkway to the bridge”. “A portion of the unit was retained to facilitate the demolition and associated works. As the bridge is now complete, the remaining section of the unit is no longer required.”
Councillors will be asked to approve the principle of an off-market deal on Thursday to allow negotiations with Legal & General Property Partners to begin.
The building, which has a steel frame and a corrugated metal roof covering, was completely owned by Legal & General before the compulsory purchase in 2014.
The council report adds the “subject is currently vacant although the remainder of the unit is let to the Royal Mail and is operated as a sorting centre”.
It continues: “The subjects are no longer required by GCC following the completion of the Sighthill walkway and bridge. As the unit is irregular in shape with a very narrow entrance, we consider market demand to rent will be limited.”
Officials have stated: “Upon acquisition, the purchaser intends to let the subjects to the Royal Mail who occupy the remainder of the unit.”
Sighthill Bridge, which opened last year, was built to reconnect neighbourhoods in the north of Glasgow to the city centre.
It was funded through the Glasgow City Region City Deal, which has seen the Scottish and UK Governments provide £500m each for infrastructure projects.
The bridge, which has a “rusty” look, is part of the £250m regeneration of Sighthill, which includes over 800 homes.