Although there will be no impact on motorway traffic, Hilton Lane will be closed 24 hours a day until the scheme is complete on 30 June .
Traffic will be diverted along Cannock Road to the M6 junction 11 roundabout and along Warstone Road, or vice versa.
Highways Agency project manager Colin Jackson said:
A recent inspection revealed the waterproofing system on the bridge is coming to the end of its life so we need to take steps to ensure it remains watertight for a long time to come.
We will remove the road surface, safety barriers, kerbs and verge, apply the new waterproofing course and then put everything back again.
We advise traffic wanting to use Hilton Lane to allow extra time for their journeys and familiarise themselves with the diversion route.
Members of the public should contact the Highways Agency Information Line on 0300 123 5000.
Journalists should contact the Highways Agency press office on 0844 693 1448 and use the menu to speak to the most appropriate press officer.