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Hello, this is Dr. Jess. I am sorry to hear about your kitty! When I have a cut near an eye in a pet, I do usually try to use an antibiotic ointment specifically made for the eye in case some does go into the eye. If you have a vet you see regularly, you could call and see if they would be willing to give you a tube for this situation. If that isn't possible, you could use a q-tip to apply a very thin layer of neosporin in the hopes that if it is a very tiny amount, it won't get rubbed into the eye.
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