The Met Office has issued a warning that up to 10cm of snow could fall in parts of Richmondshire tomorrow.
The yellow warning issued, advising the public to be aware, was issued on Tuesday morning and is valid from 3am to 12noon on Wednesday.
The warning area covers much of Richmondshire, particularly the west of the district.
This story continues after the adverts:
The Met Office said heavy rain was likely to turn to snow in places early on Wednesday.
It added: “Snowfall of 2-5 cm could occur in places, mainly above around 150m, with perhaps 10cm above 300m.
“This will bring a risk of difficult travel conditions for the morning peak travel period including slower than normal journey times, particularly for some cross-Pennine routes.
“Surface water and slush may cause problems elsewhere.”
It added: “The snow should ease from the south during the morning and become confined to the north of the warning area.”
The warning follows light snow showers across the district on Tuesday morning.
Temperatures are forecast to be between 0C and 4C on Wednesday.