n/a. The highest average temperature in Lakeland is August at 83.5 degrees. The coldest average temperature in Lakeland is January at 63.5 degrees. The most monthly precipitation in Lakeland occurs in January with 0 inches.The Lakeland weather information is based on the average of the previous 3-7 years of data.Loading...he most monthly precipitation in Lakeland occurs in January with 0 inches. The Lakeland weather information is based on the average of the previous 3-7 years of data.