It is very important to keep your Magento Enterprise installation patched.

Make sure that you applied all latest official Magento Enterprise security patches:

 

For Magento Enterprise 1.8.0.0
Release date: 7/5/12
Patch name: SUP-5109_EE_1.8.0.0_v2-2012-07-05-05-12-33.patch

 

For Magento Enterprise 1.9.0.0 - 1.9.1.1
Release date: 7/5/12
Patch name: SUP-5109_EE_1.9.0.0-1.9.1.1_v2-2012-07-05-05-15-47.patch

 

For Magento Enterprise 1.10.0.0 - 1.12.0.1
Release date: 7/5/12
Patch name: SUP-5109_EE_1.10.0.0-1.12.0.1_v2-2012-07-05-05-17-23.patch

 

You can find these patches in the "Download" section of your Magento account.

Also, since Magento is based on Zend framework, it is highly recommended to monitor vulnerabilities reported against Zend Framework here:
http://framework.zend.com/security/advisories/

Keep your Magento secure!