The work will require the temporary closure of Leaton Lodge Culvert from January 5.
The culvert carries a C classified road over a tributary of the river between Forton Farm junction to the B5067 junction to Leaton.
The normal working hours will be 8am-4pm.
While the road is closed, traffic will be diverted but access for pedestrians and dismounted cyclists will remain available.
Dean Carroll, Shropshire Council’s cabinet member for physical infrastructure, said: “The repairs to the culvert are very important and the resurfacing will ensure a good and safe road surface for the future.
“Unfortunately, however, there will be some disruption during these works, for which we apologise in advance.”