If it's a removable cover: put a bit more than a dab of fabric glue on a small square of fabric (say 4x the size of the hole) and glue said fabric square to the under/back side of the hole.

While glue is damp, get a needle and straighten the fibres out to sort of stretch/cover the hole.

If not a removable cover move the fibres around then put less fabric glue, applied with needle so it's very fine, just where broken fibres are.

Lots of quick vids on YouTube.