The timber lift bridge, which dates back to 1790, needs to be taken down so it can be repaired.
Bosses warn work will take place from 19 to 21 July in and around Nantwich, Wrenbury and Tilstock.
Station Road is riddled with potholes but the council says it will repair them in the spring.
Rural areas are being "held back", says a transport body as it releases proposals for more services.