Can I inherit a Time Machine backup if I clone my HD?

I have an old Power Mac G5 running OS X 10.5.8 (The newest OS it can run). It is backed up regularly using Time Machine to my Time Capsule. The main drive is 500 GB but I would like to replace it with a 1 TB drive by cloning it, possibly with SuperDuper. Is it possible to trick Time Machine to continuing on with the same sparsebundle rather than starting a fresh, new backup? I don't have much space left on my Time Capsule so a whole new backup would be difficult.