I think it would be fine! Remedies that work for humans, also work for our loved critters:)
Is It Ok To Put Tea Bag On Dogs Eye That Has An Eye Infection?
If he/she will let you ~ It certainly wont do any harm.
Alternatively use weak cool tea (no milk, no sugar) and wipe gently with a soaked cotton ball.
Alternatively use weak cool tea (no milk, no sugar) and wipe gently with a soaked cotton ball.