With the use of this plugin you can hides update reminder message from the WordPress Admin for all non admin users and for Admin also.
You can change the setting from the WordPress Admin to show the update reminder message will hide only for only non admin users or Admin to.
For more information or any query please click here
Support is provided at http://sumitbansal.com/wordpress-plugin/hide-update-reminder-message/
Download the plugin and unzip it. Put the 'hide-update-reminder-message' folder into your wp-content/plugins/ directory. Go to the Plugins page in your WordPress Admin and activate the Hide Update Reminder Message Go to setting->Hide Update Reminder Tab make the appropriate setting according to you.