Snow could be heavy at times and winds could gust up to 35 miles per hour, which could reduce visibility and make driving hard.
A winter weather advisory is in effect until 5 p.m. today for the northwest Piedmont counties including the Triad.
In Tazewell, Smyth and Wythe counties in Virginia, melted snow may refreeze overnight as temperatures drop below freezing.
Snow began falling steadily and started to accumulate earlier in the Triad, beginning at about 10 a.m.
The National Weather Service says the area can expect a mixture of rain, sleet and heavy wet snow from early afternoon into the evening. One to two inches may be possible for areas above 2,500 feet, with less than one inch for lower elevations.
Tonight there will be a chance of snow mixed with rain after 7 p.m., then gradually ending.
Travel will be hard, including the morning and evening commutes on Wednesday, the weather service said. Monday night will be cold, with lows in the upper 20s to low 30s, and windy, with sustained winds of 10 to 20 miles per hour and gusts up to 25 miles per hour.
Highs will be in the mid-30s on Tuesday, Wednesday and Thursday and in the upper-20s on Friday.