Alot of the control panel systems nowadays do that automatically,
unless your host takes out the check mark by the option in the control panel administration interface where it says
"suspend at limit"
I highly doubt your host would manually suspend your account at limit.
So you might want to ask your host to do that for ya, take out the checkmark for "suspend at limit" option.
Regards:
Sami H.
http://www.ServerProvider.Com