In a large saucepan over medium heat, melt the butter.

Sauté the onion and garlic until the onion is slightly translucent, about 5 minutes.

Add the sweet potatoes, and cook for another 5 minutes.

Add the chorizo, break it up with a wooden spoon, and increase the heat to medium-high.

Cook until the meat is no longer pink and bits of it begin to get crunchy and browned, another 5 minutes.

Add the broccoli and stir.

Cook for 5 more minutes, and serve hot.