If you can post pictures (you’ll have to resize them to be smaller so they fit the file size limit of this site), that’d be helpful.
Fur loss around the eyes can come from primarily two reasons:
1) Moisture (i.e. Rabbit’s eyes are watering a lot)
2) Infection around the eye (could potentially have started because there’s moisture around the eye. Bacteria love moisture)
— Best course of action is to see a vet to procure either medication to help your rabbit fight an infection or get some tests performed to see if something is irritating your rabbit’s eye, causing watery eye (that may have triggered an infection; so potentially both). Eye irritation can come from both the outside and actually the inside. There are a number of cases where a rabbit’s teeth roots will grow into its gum and actually begin poking/growing into the back of the eyeball. Very discomforting/painful stuff. Not saying that’s the most common cause, but you should be informed of the “worst case scenario” sort of situation, if your vet is stumped.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.