[CentOS] Cronjob and sudo

I need to remove empty files out of a directory that are over 6 hours
old so I created this script and put it in cron.hourly.

#!/bin/sh
cd /var/list
sudo -u matt find /var/list -mmin +360 -empty -user matt -exec rm {} \;

I want to run it as matt rather than root for just an added bit of
safety.  Problem is I get this.

"sudo: sorry, you must have a tty to run sudo"

Is there another way to do this?  As I understand the reason for this
is requiretty in sudo config.  If that improves security I would
rather not change that setting.