A band of rain, sleet and snow will slowly clear east during Wednesday, with sunny but cold weather following.
Leeds awoke to a blanket of snow today leading to widespread traffic and travel disruption for commuters across the city.
Further snow is forecast for parts of the region on Sunday.
The forecaster said injuries from icy roads and cycling paths are "possible", while the RAC said black ice was "likely to make roads treacherous".
Parts of northern England are on standby for heavy snow on Friday morning, while swathes of the country have been warned of a risk of ice and wintry showers.
Bus and train services will probably be affected along with spray and flooding on some roads making journey times longer.
"A spell of snow is likely across parts of northern England and southern Scotland on Friday morning", said a Met Office spokesman.
Heavy rain and snowfall over the Christmas break have raised water levels in rivers and lakes in England, prompting the Environment Agency to issued three flood warnings and 54 flood alerts on Thursday. Some delays and cancellations to rail and air travel are likely, the Met Office warned.
The rain is likely to turn to snow in places, mainly over higher ground.
Leading bookmaker Coral has given 5-4 odds on this month ending as the coldest December on record in the United Kingdom as temperatures continue to plummet this week.
"But we are not talking about those extremes in the town and city centres, it is out in rural areas, more exposed areas, particularly over lying snow where you see temperatures drop the most". Gusts of 45-50mph likely widely in and near showers, gusts of 60mph in places and 70mph with exposure.