I would guess you already have defects, and when you are decide to fix these there isn't a document that bundles them together in some way (why would you try to do this, most defects would be independent, not all, but most). There wouldn't be a sign off process, there is nothing to sign off. The person doing the fix would need to spend time talking with the people who found the defect, and others to work out how to fix it and what the fix will look like - hopefully.
The defects would be - to a greater extent - recorded from the perspective of someone outside the system, rather than a technical task. Of course there would be some prioritisation on what to fix first, because some defects have a greater impact/value than others.
Defects come with test criteria as standard.
It all feels very story like to me. Surely if you can work with defects, then it shouldn't be too much of a leap to work with stories. Maybe.