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A yellow weather warning for thunderstorms is in place for part of the county.
The Met Office initially said the whole of Kent was set to face heavy rainfall from 11pm until 6am.
In an update at 5.30am, forecasters extended the warning to 10am, but said it now only applies to part of Kent.
Sittingbourne, Medway, Dartford, Gravesend and part of Maidstone are still likely to be affected.
Residents are being warned inclement weather in these areas could lead to travel disruption and some flooding.
Weather experts say there is a chance businesses and homes could become flooded quickly following the downpours, with damage to buildings also possible because of floodwater, lightning strikes, hail or strong winds.
Where flooding and lightning strikes occur, there is also a chance of delays and cancellations to train and bus services.
Motorists are also being told to take care on the roads as spray and sudden flooding could lead to difficult driving conditions and some road closures.
There is also a chance of power outages because of the weather.
A Met Office spokesman said: “There is a small chance that homes and businesses could be flooded quickly, with damage to some buildings from floodwater, lightning strikes, hail or strong winds.
“Where flooding or lightning strikes occur, there is a chance of delays and some cancellations to train and bus services .
“Spray and sudden flooding could lead to difficult driving conditions and some road closures .
“There is a slight chance that power cuts could occur and other services to some homes and businesses could be lost.”