Hello. Welcome. Sorry about your injury. Using ibuprofen gel or topical NSaids does not necessarily have to be covered. You can ask your doctor about that or the pharmacist where you frequent. A few points, remember to not mix with other nsaids, avoid touching your eyes, mouth or open wound, WASH YOUR HANDS after application, use only the amount the doctor has prescribed for you, don't shower or swim or wash the area for at least an hour after putting it on, and try to keep the area cool.
Let us know what the doctor says but it is likely not necessary to always use gauze.