Four inches of snow is expected for parts of East Yorkshire on Friday - with the downfall forecast to continue throughout the weekend.
Commuters were warned showers would begin during tomorrow evening's rush hour, raising fears of a repeat of Monday's travel chaos.
At least two inches of snow is expected to fall on Hull on Friday, with twice that amount over higher ground.
A spokesman for the Met Office - which has issued a severe weather warning - said: "The wind will noticeably pick up on Friday, which will make it feel bitterly cold.
"There will be some snow showers coming in off the North Sea, which will become more persistent later in the afternoon.
"We are not looking at huge amounts of snow, but it is enough to cause some disruption and could make travel difficult.
"It will be more persistent during the evening rush hour, so could make it difficult for people travelling home from work."
Temperatures are expected to remain at freezing point, although the spokesman said windchill will make it feel like -5C.
Persistent snow showers are forecast throughout the weekend with temperatures dropping as low as -8C at night.
Despite that, East Yorkshire is expected to escape the worst of the winter weather tomorrow. The Met Office has issued a rare "red" warning for parts of Wales and the west country, where blizzard conditions could bring up to 12 inches of snow in just three to six hours.
East Riding Council said it was refilling salt bins and its gritters would continue to operate around the clock.
Salt piles were also being deposited for use by residents.
Staff from grounds and street-sweeping duties have been diverted to snow and ice clearing operations.
Nigel Leighton, director of environment and neighbourhood services, said: "The council is putting plans in place to ensure the main highways stay open.
"The council advises motorists to only make essential journeys and to drive to the conditions, allow extra time for journeys and stay to the treated network, wherever possible.
"On minor roads, conditions will remain treacherous and the council continues to speak with town and parish councils to enact their winter plans and help alleviate problems locally.
"During this spell of winter weather, the council asks that residents ensure family, friends and neighbours, particularly older and more vulnerable people, stay safe and warm and have necessary provisions."
East Coast trains has advised passengers to check before travelling.
The company is lifting ticket restrictions for all journeys on its trains which arrive in, or depart from, London King's Cross after 10am tomorrow.
It advised passengers wherever possible to travel before 6pm tomorrow, as heavier snowfalls were predicted after that time.
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