Redness around a dog’s eyes accompanied by hair loss may be caused by a variety of reasons. Here are some possible causes: 1. Eye infection: The dog’s eyes may be infected by bacteria, fungi or parasites. Infection, which can cause redness and hair loss in the skin around the eyes. 2. Food allergies: Dogs may be allergic to certain ingredients in food, which will not only cause skin redness and hair loss, but may also cause skin problems around the eyes.

3. Skin problems: Dogs may suffer from skin diseases, such as eczema, dermatitis, etc. These problems are May cause redness and hair loss in the skin around the eyes.

4. Malnutrition: If the dog lacks certain nutrients, it may also cause health problems of the skin and hair, which may lead to redness of the skin around the eyes and hair loss. 5. Stress or Anxiety: Dogs that are stressed out or anxious may also experience redness and hair loss in the skin around their eyes.