A technique for executing normally interruptible threads of a process in a non-preemptive manner includes in response to a first entry associated with a first message for a first thread reaching a head of a run queue, receiving, by the first thread, a first wake-up signal. In response to receiving the wake-up signal, the first thread waits for a global lock. In response to the first thread receiving the global lock, the first thread retrieves the first message from an associated message queue and processes the retrieved first message. In response to completing the processing of the first message, the first thread transmits a second wake-up signal to a second thread whose associated entry is next in the run queue. Finally, following the transmitting of the second wake-up signal, the first thread releases the global lock.