[ALUG] Problem with anacron and cron *never* running jobs

I have a backup job that (should) be run daily. There is a script called 'backup' that is in /etc/cron.daily. If the computer is shutdown regularly then anacron does its job and runs backup a few minutes after the computer is powered up again. If, on the other hand, the computer is on all the time then cron runs the job at 07:30. However, and this is the problem, if the computer is Suspend[ed] and isn't running at 07:30 then the jobs in /etc/cron.daily never get run. Is there any way around this? -- Chris Green