The Gatwick Express is hoping to run a normal timetable between London Victoria and Gatwick Airport.
There are not engineering works due at the weekend but users are being warned that congestion on the motorways around London may lead to some delays as people try to visit the capital for the Jubilee pageant.
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Detectives have charged two men with the murder of Jason Martin-Smith in Hastings in 2001.
Thursday night's weather for the east of the region
Thursday night's weather for the west of the region