Thermal transport properties; effusivity, diffusivity and conductivity, of six silicate glasses in the molten state have been determined in the temperature range between 1073 and 1673 K. The glass sample was melted in a platinum crucible and heated to the desired temperature. Then, a single laser pulse was flashed on the bottom surface of the platinum crucible, and the infrared ray irradiated from the same bottom surface was measured for obtaining the temperature decay from which thermal effusivity of the sample could be estimated in the molten state. Thermal diffusivity and thermal conductivity were also estimated with available values of specific heat capacity and density of the glasses. Thermal transport properties of six glasses were found to slightly depend on temperature.