Met Eireann has issued status yellow weather warnings as the storm looms.
Northern England is also expecting snow on Sunday evening.
Forecasting snow showers in the United Kingdom can be quite challenging as conditions are often borderline between rain and snow.
The development comes amid reports of Storm Caroline battering northern Scotland today.
"1cm to 5cm of snow is widely expected, with up to 10cm in places".
Tomorrow the Yellow weather warning for snow and ice is valid from 00.05 on Friday to 18.00 on Saturday.
Conditions will start to turn wet and blustery, especially across the north and north west of the United Kingdom, before gales hit on Thursday.
"A spell of heavy snow is possible over some central parts of the United Kingdom during Sunday", reports the Met Office.
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"Overnight, the main feature will be the increase in wind as Caroline starts to come in towards the end of the night".
An North Sea oil rig, off the north-east coast of Scotland, is being partially evacuated over fears extreme waves caused by Caroline could endanger workers.
Sunday's weather warning is in force from 04.00 on Sunday until 23:55.
CNR International said 69 of the 159 staff on Ninian South, about 240 miles from Aberdeen, would be leaving the structure as a precaution.
Ireland is set for strong winds, snow and freezing temperatures in the next 72 hours, according to Met Éireann, which has issued a yellow weather warning.
"Some rural communities could be cut off and power supplies interrupted".
Meanwhile, Met Eireann also said that snow can be expected on Thursday and Friday in the west and northwest, especially on hills and mountains.
Brian Gaze, forecaster for Weather Outlook, said: "Colder easterly air expected from as far away as Siberia means minimum temperatures as low as -16C could be seen this winter in Scotland, with -12C even in sheltered parts of southern England".