Small amounts of discharge can accumulate on the inside aspect of the lower lid, similar to people. Clean any matter from the area around the eye. Before using any shampoo on your pet, protect his eyes with a drop of mineral oil or eye ointment. Some dogs have a chronic problem with drainage from the eyes. This problem may have many causes. Check with your veterinarian to help rule out any medical conditions that can be solved. If the drainage is persistent, make sure you keep it wiped away. Skin and fur that stays constantly moist can discolor and become infected. Eyes without sufficient tears or lubrication can become dry and lead to a variety of eye problems.