The TSB branch on Halesowen Road will close for the last time today (Wednesday May 26).
The news was confirmed by the National Federation of SubPostmasters (NFSP) which said it is continuing to serve customers as "banks continue to desert the high street in order to cut costs and increase their profits."
A spokesman for NFSP said: "This will doubtless be disappointing to TSB’s customers in Old Hill.
"However, alternative banking provision is available to local residents at post office branches nearby."
The spokesman said the nearest post offices are opposite TSB on Halesowen Road, Old Hill; Cradley Road, Cradley Heath and Saltwells Road, Netherton.