I have never worked with Suse, but I believe there must be a way to update from 10.1 to 11, without having to run an installation CD.
Like I said, I'm a fan of redhat-fedora products. Therefore, you might have to adapt the commands to Suse. Boot up your machine. Once in the X window, launch a terminal. Get root access. Go to a Suse update repository, and download the newest version of the Suse 11 kernel (I would say in .rpm form). The next step is to install the kernel-something.rpm, using rpm, or yum (could be different in Suse). Once the kernel is installed, you can say that you have a Suse 11 version working. Make an upgrade of your system
You should be able to reboot your system in Suse 11, without any danger of losing any data.
Hope this helps.