The Met Office has issued Yellow weather warnings for ice in Scotland and across the east and west of the UK until 11am.
Greg Dewhurst, Met Office forecaster, said: "It's a lovely sunny start, plenty of winter sunshine, but a cold, frosty start.
"Through the day tomorrow it looks like we will see cloud increase across parts of the west of the UK.
"There's some showery rain across parts of Northern Ireland and Wales, eventually slipping into central southern England."
But those hoping for a blanket of snow in the lead-up to Christmas look set to be disappointed as milder conditions are expected.
Conditions will become warmer into next week with temperatures reaching double digits for much of the country by Tuesday.
The north looks set to see a wetter and windier festive period, while the south will see more settled weather, long-range forecasts show.
Mr Dewhurst said: "In terms of the Christmas period, it looks like it will stay on the milder side.
"But there are hints that there could be a few colder bits coming through - but nothing like what we've seen."