A processor is described. The processor includes model specific register space that is visible to software above a BIOS level. The model specific register space is to specify a granularity of a processing entity of a lock-step group. The processor also includes logic circuitry to support dynamic entry/exit of the lock-step group's processing entities to/from lock-step mode including: i) termination of lock-step execution by the processing entities before the program code to be executed in lock-step is fully executed; and, ii) as part of the exit from the lock-step mode, restoration of a state of a shadow processing entity of the processing entities as the state existed before the shadow processing entity entered the lock-step mode and began lock-step execution of the program code.