After the snow and ice of Tuesday, Wednesday evening is expected to bring winds of up to 80mph (127kph) in places and "a danger to life" from flying debris.
From today at 3pm until Wednesday at 6pm the north of the county is being placed on alert for snow and ice.
In Derbyshire, the Met Office is forecasting bouts of heavy snow in some parts of the county for Tuesday and Wednesday, as well as severe gale force winds on Wednesday night.
The southern uplands of Scotland, northern England and Northern Ireland have also seen flurries of snow, with 1cm reported in Lough Fea, Northern Ireland, and further accumulations are expected throughout the day.
A yellow warning has been issued by the Met Office for northern parts of the United Kingdom from Monday with frequent and heavy hail and snow showers set to affect millions of people, with those in Scotland and Northern Ireland most likely to face the brunt of the wintery weather.
Commuters are also being warned to expect problems on the roads, trains and ferries, with possible power cuts on the cards too.
The chief forecaster said showers would turn to sleet, hail and snow late on Monday night, causing travel delays and the possible cancellation of public transport but "a slushy cover of one or 2cm" was more likely at lower levels.
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The warning is in force between 4am on Tuesday and 11am on Wednesday.
Early on today there will be some sunny spells but widespread showers will continue with hail and sleet also expected up north.
In addition, some roads and pavements may become icy over the period, which will increase the chance of injuries from slips and falls.
"Strong and gusty westerly winds will further strengthen and reach gale force, especially along Atlantic coasts with very high seas expected".
"There is a small chance that power cuts will occur and other services, such as mobile phone coverage, may be affected".
Here temperatures will be close to or just below freezing, while much of England and Wales temporary turn milder with temperatures 7 to 9C for a while.