FPUS42 KTBW 191916 City Forecast for Fort Myers, FL Issued Thursday afternoon - Dec 19, 2013 .Thursday night... Low 61, 0% chance of precipitation. .Friday... Partly cloudy, high 83, 20% chance of precipitation. .Friday night... Low 65, 10% chance of precipitation. .Saturday... Partly cloudy, high 83. .Saturday night... Low 68.