Task switching choice was examined building from a model of task overload management. An experiment using the Multi-Attribute Task Battery (MATB) was undertaken to explore the influence of two parameters of the model, task priority and task difficulty. Participants were free to switch between the four component tasks, with the number of switches and task choice for conflicting events observed. A unique post-experiment survey measured subjective ratings of task attributes. We found that task difficulty, by reducing switching, and task priority, which determined whether increased task difficulty increased time in task, significantly influenced task switching predominantly in line with our predictions. The specific role of priority in multi-task management, and future directions including time-on-task related effects and the role of operator fatigue, are discussed.