Orange could see a dusting of snow on Monday morning in town with predicted falls as low as 700 metres.
The Bureau of Meteorology has issued a sheep graziers warning on the back of that forecast, with winds of up to 45 kilometres-per-hour and daytime temperatures no higher than 6 degrees celcius in the morning.
Areas likely to be affected include the South West Slopes forecast district and parts of the Central Tablelands, Southern Tablelands and Snowy Mountains forecast districts.
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There is a risk of losses of lambs and sheep exposed to these conditions.
The weather is predicted to be relatively bleak this week with tops of 8 degrees on Tuesday, 9 on Wednesday and 9 again on Thursday, with a chance of rain each day.
Friday will mark a return to frosty mornings, with a morning low of minus-2 and a top of 13 degrees.