Heat olive oil in a large pot over medium-high heat. Add sausage and cook, breaking it up with a spoon, until browned.
Add chopped onion and minced garlic to the pot and cook until softened, about 5 minutes.
Add diced potatoes, water or broth, oregano, basil, salt, and pepper to the pot. Bring to a boil, then reduce heat and simmer for 20-25 minutes, or until potatoes are tender.
While the soup simmers, prepare the kale garnish. Wash and dry kale leaves. Toss with a little olive oil and bake at 200°C / 400°F for 6-8 minutes, or until crispy.
Stir chopped kale into the soup during the last 5 minutes of cooking.
Taste and adjust seasoning as needed.
Serve hot, garnished with crispy kale.