Minimal Java installation for Linux with no GUI

I'm working on a CentOS 6.3 x86_64 minimal OS (installed using the netinstall ISO). This system is not expected to run anything beyond console apps/services and Tomcat7. When I attempt to install OpenJDK 1.7, it lists some x11 packages as dependencies. For my purpose, not even awt is needed. And therefore, if possible, I would like to avoid installing all the fonts, x11, etc. Does there exist a Java/JRE version that comes without the UI pieces?