Horse Bridge, which carries the B4387 over the Rea Brook near Minsterley, is to be closed on Wednesday, June 16.
The closure will be between 9.30am and 4pm.
A spokesman for Shropshire Council said: "Access equipment has to be positioned on the carriageway and, due to the narrow nature of the bridge, this cannot be done without closing the bridge to traffic. When the road is closed, traffic will be diverted along B4499, B4386 and the B4387 by a signed diversion.
"The road closure with be undertaken by the council’s term maintenance contractor Kier, and the inspection by the council’s term consultant WSP."
Steve Charmley, Shropshire Council’s cabinet member for physical infrastructure, highways and built housing, said: “It is appreciated that this bridge closure will cause some inconvenience, and everyone involved will do all that they reasonably can to reopen it as soon as possible on the day.”