An event calling for a migration of a workload from a source processor set of processing units to a target processor set of processing units is detected. Processes of the workload are allocated to a second processor set of processing units so that some workload processes are executed on the source processor set and some workload processes are executed on a second processor set of processor units. Then, some workload processes are allocated to the second processor set so that no workload process is executing on the source processor set and at least some of said processes are executing on the second process set. The second processor set can be the target processor set or an intermediate processor set from which the workload is migrated to the target processor set.