The Met Office forecast is that tonight will remain overcast with the wind chill making it feel like -2 or -3degC.
Tomorrow, it will stay overcast with some light patchy rain in the afternoon.
However, as the temperature drops in the evening the rain may turn to sleet or light snow.
The north-east wind will make it feel very cold, down to -4degC.
The weekend will remain overcast and bitterly cold as the wind picks up to 20-30mph.
Deputy Chief Meteorologist Richard Young, said: “With this easterly air flow and a chance of some snow showers it will feel very cold this weekend, especially on Sunday, along the south coast where wind chill will make it feel more like -4°C during the day, so wrap up warm.”