Barrow-in-Furness and Grange-over-Sands will resume on Monday 18 April following completion of improvement works on Lindal Tunnel, near Dalton.
Since 26 March, train services on the line have been replaced by alternative road services to allow Network Rail to carry out work to the tunnel.
Further along the line, a major project by Network Rail to renew the Arnside railway viaduct over the River Kent estuary between Grange-over-Sands and Arnside is continuing and will mean changes to travel plans for passengers until 17 July.
Buses will replace trains between Grange-over-Sands and Arnside throughout this period.
Train services will be running from Arnside to Carnforth, Preston, ManchesterandManchesterAirport . Some early morning and evening trains to and from Carnforth will not run, but will be replaced by alternative road services.
There will be a regular bus service between Grange-over-Sands and Oxenholme to provide connections to main line services to Carlisleand Scotland.
Journey times will be extended and passengers are being encouraged to check the times of alternative buses and trains.
Special printed timetables are available at stations and full details of all journeys are available at stations, through on-line rail journey planners at National Rail Enquiries at www.nationalrail.co.uk, the First TransPennine Express website at www.tpexpress.co.uk and by 'phone from National Rail Enquiries on 08457 484 950.
The alternative road services are provided and co-ordinated by First Rail Support who will have staff at key interchange points, including Grange-over-Sands, Arnside and Oxenholme.
There will be customer service staff on hand to provide assistance and information for passengers changing between road and rail services.
David Mallender, spokesman for First TransPennine Express, says: "Trains will be running again between Barrow and Grange, which will make things easier for many local journeys, but we would continue to encourage passengers to check their travel arrangements for journeys further afield."
Network Rail will be working with contractors, May Gurney to return the Arnside Viaduct to its former condition and reinstate full line speed. This will mean less major maintenance in future, improved journey times for both passenger and freight trains and a smoother, quieter ride over the structure.The project will see complete replacement of the deck of the 500-metre, 51-span viaduct, which was built in 1856.