January in Covington is the coldest month of the year. In January, the weather in Covington is typically warm. Average daily high temperature in January is about 10 degrees above zero. On average, Covington has 12 sunny, 11 partly cloudy, 7 rainy, and 1 cloudy day in January. The rains are usually moderate. January as well as July and August is considered the most uncomfortable time to visit Covington.