Provided is a method, system, and program for allocating processor resources to a first and second types of tasks. An allocation of processor resources to the first and second types of tasks is indicated. Data is gathered indicating a first workload level for the first type of tasks and a second workload level for the second type of tasks. A determination is made of a change to the indicated allocation of processor resources to the first and second types of tasks based on at least one of the first workload level and second workload level data. Tasks of the first type are dispatched to the processor resources allocated to the first type and tasks of the second type are dispatched to the processor resources allocated to the second type.