Systems and methods for rapid drying of ceramic greenwares having a high graphite content are disclosed. The methods include employing microwave drying to bring the dryness of the ceramic greenware to a first select dryness and then employing close-coupled hot-air drying to bring the dryness to the final target dryness. The judicious use of close-coupled hot-air drying reduces end defects due to unevenness in the microwave drying process while also substantially speeding up the drying process. Various configurations for and combinations of microwave drying and close-coupled hot-air drying are disclosed.