The six week scheme will improve verge drainage and footpaths along the route between the junction with the A66 at Bridgefoot and further south at Winscales.
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The work will begin on 7 September and is due to be completed on 16 October.
Highways England Project Manager, Peter Gee, said: "This is important work to give road users safer and smoother journeys along a section of the A595 which has been prone to flooding after heavy rain."
The work involves replacing poorly-performing filter drains with new drains as well as reconstructing footpaths.
Temporary traffic lights will be in place between 9:30am and 3:30pm, as well as 8pm and 6am, due to work requiring off-peak lane closures.
(LM)
