However there will still be some rain for Scotland and Northern Ireland, with more hitting the south-east and East Anglia in the afternoon.
For this morning Met Office meteorologist Aidan McGivern forecast: “Some outbreaks of rain across south-west England, parts of Wales and into the midlands.
“The whole thing is moving, or be it slowly, into central parts of England and that means brightening skies by the afternoon across northern England, southwest England and Wales.
“Plenty of sunshine. A brighter day certainly for Scotland and Northern Ireland compared to the last few but still some blustery showers into the north and the west, feeling colder here.
“The rain arrives into East Anglia and the south-east by the end of the afternoon, 12-13 degrees here.”
“But the rain is petering out, the front is weakening, so its outbreaks of mainly light rain and lots of low cloud turning fairly misty here overnight on Wednesday but temperatures hold up.”
Wednesday will say the arrival of a north-westerly airflow into northern England, developing “a warm front ripple”, but this will slow down during the day.
This weather front will also be somewhat weakened by the build-up of high pressure.
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However temperatures will fall substantially early on Thursday morning, going below freezing in some areas.
At 5am temperatures of -1C should be expected for Glasgow, along with 1C for a band of England from Newcastle to Cheltenham.
However London and the south-east will remain warmer with temperatures as high as 6-7C.
Mr McGivern explained: “It’s going to be a cold night, a widespread frost forming, more widely than we’ve seen of late.
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“Temperatures below freezing fairly widely and some fog forming across mainly mid-Wales, into the midlands and north-east England, tense fog patches to start the day but most of it should clear by lunchtime.
“Some fog patches I think will last all day, otherwise plenty of sunshine there across the UK on Thursday, one or two showers in the far north-west and still that mist and cloud in the far south-east.
“Milder in the far south-east but certainly feeling colder on Thursday, especially where the fog persists throughout much of the day.”
Friday will also be cold with a frost expected for some areas.
Mr McGivern forecast: “A similar day to come on Friday but with more widespread frost and fog across central parts of the UK.”
There are currently no Met Office weather warnings in place anywhere in Britain over the next seven days.
However one flood warning and one flood alert are in place for parts of England.
These apply to Keswick Campsite and Stonethwaite Beck and Derwent Water, both in the Lake District.
A flood warning means “flooding is expected” and action should be taken.
The weaker flood alert indicates “flooding is possible” and people in the area should remain vigilant.