The Met Office has predicted that there could be some snow in Winchester on Friday November 26 and Saturday November 27.
There will be outbreaks of rain, sleet and some snow over higher ground this weekend.
Storm Arwen is expected to hit parts of the UK, although the worst will not be felt in Winchester.
Read more: Storm Arwen: Snow, damaging winds to sweep through UK, Met Office warns
It comes after the Met issued a yellow weather warning for strong winds on Saturday.
High winds could cause some travel disruption and damage across the whole of the UK, including damage to trees and temporary structures and buildings.
#StormArwen has been named and is forecast to bring a period of very strong winds and cold weather to the UK from Friday into Saturday
— Met Office (@metoffice) November 25, 2021
Disruption to travel and infrastructure is likely over the coming days with warnings in force ⚠️
Stay #weatheraware pic.twitter.com/lMls9PzqZF
Stephen Dixon, a Met Office spokesman, said: “The worst-affected areas will predominantly be on the coasts, with gusts of over 75mph bringing possible disruption to travel and longer journey times, power cuts, flying debris and large waves, with beach material being thrown around.
“There is also a yellow warning of wind in place along the west coast of the UK from 9am on Friday, stretching from Scotland, through Northern Ireland and Wales and as far as south-west England.
“This reflects the impact Storm Arwen will have, with strong winds likely to occur into Saturday, when the warning is extended to most parts of the UK.
“The south-east and London, though fairly windy, are likely to escape the worst of the gusts and remain relatively calm in comparison to the rest of the country, which will certainly feel the impact of the storm.”
The Met Office says the gusts could reach upwards of 40mph on Saturday and temperatures will reach lows of one degree in Winchester.
Here's the Met Office weather forecast for November 26 - 28
The Met Office said on Friday night there will be rain, sleet and possibly some snow on higher ground across the South East.
From 3am on Saturday morning, there will be sleet across Winchester and winds from 44 to 49mph.
Temperatures could feel as cold as minus four degrees on Saturday, so if you are out and about makes sure to wrap up warm.
On Saturday the maximum temperature will be 4 degrees with outbreaks of rain, sleet and even some snow over hills.
Sleet and hail can be expected on Sunday, although it will be less windy than Saturday.
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