The 6 week, £480,000 project will improve verge drainage and footpaths along the route between the junction with the A66 at Bridgefoot and further south at Winscales.
The work will start on Monday (7 September) and is due to be completed by Friday 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 footpaths here are also in a poor condition so we are taking the opportunity to renew these which will provide a better surface for pedestrians.
The work involves replacing poorly-performing filter drains with new drains as well as reconstructing footpaths.
Drivers are being advised the work does require off-peak lane closures with temporary traffic lights in place between 9.30am and 3.30pm and again between 8pm and 6am each day. Road users should leave extra time to complete journeys involving travel through the area.
Members of the public should contact the Highways England customer contact centre on 0300 123 5000.
Journalists should contact the Highways England press office on 0844 693 1448 and use the menu to speak to the most appropriate press officer.