A data processing system includes a processor core and ordering scope manager circuitry. The processor core sends an indication of a first ordering scope identifier for a current ordering scope a task currently being executed by the processor core and a second ordering scope identifier for a next-in-order ordering scope of the task. The ordering scope manager receives the indication the first and second ordering scope identifiers from processor core, and, provides a no task switch indicator to the processor core in response to determining that the first task is a first-in-transition-order task for the first ordering scope identifier and that processor core is authorized to execute the next-in-order ordering scope. The processor core transitions from executing in the current ordering scope to executing in the next-in-order ordering scope without performing task switch in response to the no task switch indicator being provided.