How can I convert an already cloned git repository to a shallow repository?

The git repository is downloaded through a script outside of my control so I cannot do a shallow clone.

The reason for doing this is to save disk space. (Yes, I'm really short on disk space so even though a shallow repository doesn't save much, it is needed.)

I already tried

git repack -a -d -f -depth=1

But that actually made the repository larger.