The Met Office has issued a notice of light snow changing to sunny intervals by lunchtime across the region.
Snow has fallen in South Staffordshire, Stafford, Cannock, Wolverhampton and Gornal.
Temperatures are not expected to rise above four degrees Celsius (39.2 Fahrenheit) for the rest of the day.
The Met Office has forecast a largely dry day with sunny spells in the afternoon, although eastern areas may see a few, potentially wintry, showers at times.
It also said there is a risk of icy conditions during the morning and it would feel cold, with light winds.
This evening is set to be dry and cloudy with occasional clear spells and very cold temperatures are expected, bringing a risk of freezing fog patches and icy conditions, with temperatures to drop to -5 degrees Celsius (23 Fahrenheit).
West Midlands Police have urged drivers to be careful when driving and when defrosting their cars, asking them to stay close to avoid someone jumping in and driving off.