June in Leicester is the rainiest month of the year. In June, the weather in Leicester is typically warm. Average daily high temperature in June is about 17 degrees above zero. On average, Leicester has 20 rainy, 5 sunny, 3 cloudy, and 2 partly cloudy days in June. The rains are usually moderate. June as well as January, February, March, and April is considered the most uncomfortable time to visit Leicester.