Convert Directory storage to lvm-thin?

I have a PVE host which was originally installed on PVE v3 with Directory type storage for local disk images.

It is now running 5.3-5. I would like to have the disk images stored on lvm-thin so that I can trim them (the disks are .raw images).

Is there a way of doing this that doesn't involve a complete re-install of PVE?

Thanks for any tips.

EDIT: I see I can use the Disk Move function in the GUI to convert disks from .raw to .qcow2. I think this may allow me to have thin provisioning on Directory storage. If so I can try that but are there any disadvantages?
 
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This is not something that can be done on the fly. You will need to move your data somewhere else and recreate the storage.