Toss sweet potatoes with a drizzle of olive oil, season with salt and pepper, and spread out on a baking sheet.
Roast at 400° for 15-20 minutes, until soft.
Meanwhile, in a skillet, heat a drizzle of olive oil.
Add the chicken sausage and kale and cook until sausage is browned and kale is softened.
Stir cooked sweet potatoes in.
Transfer to a bowl.
Wipe out the skillet and return to medium-high heat.
Melt butter. Break eggs and slip them into the pan, one at a time.
Immediately reduce heat to low and cook slowly until whites are completely set and yolks are thickening.
Gently flip each egg over in the pan and cook until the desired doneness.
Season with salt and pepper.
Divide sweet potato mixture between serving bowls and top each serving with an egg.
Serve immediately.