ScheduledThreadPoolExecutor scheduleWithFixedDelay and "urgent" execution.

Question

I have the following problem that the standard library doesn't solve well, and I'm wondering if anybody has seen another library out there than can do it so I don't need to hack together a custom solution. I have a task that is currently scheduled on a thread pool using scheduleWithFixedDelay(), and I need to modify the code to handle requests for "urgent" execution of the task related to asynchronous events. Thus, if the task is scheduled to occur with a delay of 5 minutes between executions, and an event occurs 2 minutes after the last completed execution, I would like to execute the task immediately and then have it wait for 5 minutes after the completion of the urgent execution before it runs again. Right now the best solution that I can come up with is to have the event handler call cancel() on the ScheduledFuture object returned by scheduleWithFixedDelay() and execute the task immediately, and then set a flag in the task to tell it to reschedule itself with the same delay parameters. Is this functionality available already and I'm just missing something in the documentation?