A spokesman for the Met Office said: "Ice is expected to form on some surfaces from late Monday afternoon and last overnight into Tuesday morning.
"There will probably be icy stretches on untreated roads, pavements and cycle paths with some injuries possible from slips and falls.
"Temperatures are likely to fall rapidly below freezing later on Monday across much of the area. This will lead to icy stretches, particularly where snow melt has occurred during the day, or where a mix of rain and snow has fallen across the south of the area."
The Met Office weather warning is in force between 4pm today, Monday, and 11am tomorrow, Tuesday December 12.