[CentOS] Openvz inside a KVM guest?

Open vz is a container VM....software, not hardware dependent.
Is is possible to make a server a centos 6 KVM host, install centos 6 as 
a guest system...
and then install openvz (or something like that) in the guest OS?

thus instead of two websites each with its own guest image, you can put 
both inside the guest and still
have them kind of sandboxed?

or is that crazy?