I get the feeling that there might be 1 or 2 places that will wake up to a surprise covering of something wintry on Tuesday morning, if it's cold enough overnight.
The rest of the week, cold with wintry showers. This week's metoffice forecast....
Monday:
Low cloud across parts of England and Wales should break up to give some sunny spells. Meanwhile, strengthening winds, heavy rain and hill snow will make inroads into northwestern areas.
Outlook for Tuesday to Thursday:
An icy start as rain and hill snow clears east on Tuesday, with blustery, often wintry showers following on to western areas. Staying cold thereafter, though generally drier and brighter.
And their 30 day Outlook ~ still going for cold....
UK Outlook for Thursday 24 Jan 2019 to Saturday 2 Feb 2019:
Thursday and Friday will see a very cold north to north-easterly airstream bringing sunshine and showers, the showers giving rain or snow and most frequent in the north and northeast. It looks breezy on Thursday perhaps with coastal gales in the south and east, although winds should ease on Friday. Widespread locally severe night frosts are also likely. Later on Friday, rain preceded by snow may arrive in the far west and northwest, accompanied by strengthening winds. During the weekend and following week a lot of fine weather is expected with the chance of some wintry showers. Staying cold or very cold, with widespread frost. However, some wet and windy weather is likely in the northwest, which may briefly spread further southeast giving some snow on encountering the colder air.
UK Outlook for Sunday 3 Feb 2019 to Sunday 17 Feb 2019:
The northwest of the British Isles may see changeable conditions at first, with spells of rain, strong winds and some snow at times. However, it should become drier, brighter but colder here as the period unfolds. Meanwhile further southeast some bright, quiet periods are expected but with some wintry showers too, the detail of which is very uncertain. It is likely to be cold or very cold, and as a result widespread, locally severe frosts are on the cards. The conditions described above could still be interspersed by some milder, wetter interludes, most likely across southern parts of the British Isles, and this would bring an associated risk of significant snow and ice at times.