The Met Office has predicted that there could be some snow in Lancashire towards the end of the week and moving into December.
It said there are "several shots" of Arctic air moving into the UK later this week, bringing much colder and wetter weather.
“Prolonged periods” of snowfall are possible in higher areas of northern England, the Met reports.
Grahame Madge, a Met Office spokesman, said:
“We’ve got an unsettled period of weather over the next few days, with wind warnings out for Scotland and Northern Ireland to begin with on Friday.
“This will extend to the whole of the UK apart from London and the South East on Saturday, with strong winds expected.
“There is an increasing signal of snow at higher elevations, indications suggest that areas above 200m in Scotland have the highest chance from Friday.
“There may well be temporary spells in other areas across northern England and Wales, in areas like the Pennines and Snowdonia, though this unlikely to be heavy enough to settle.”
He added there was “no sign” of snow in lower areas in England and Wales, but said “never say never”.
It comes after the Met issued a yellow weather warning for strong winds this weekend.
The strongest winds will go across northern Scotland on Friday afternoon and move further across the UK on Saturday morning.
The Met Office says the gusts could reach between 50-80mph in Lancashire, the strongest will be in Scotland and the north-east of England.
Here's the Met Office weather forecast for November 25 - December 7
On Thursday November 25, it will be cold and crips with a maximum temperature of 6 degrees.
It will be wet and windy on Friday as the yellow weather warning moves in on Saturday, with wintry hills and heavy showers.
It will be more settled from Sunday November 28 and there will be patchy frost, ice and some snow on the hills.
Snowfall on the higher ground may continue right up until Tuesday December 7 as it remains cold and icy.
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