Cook the penne for 8 minutes in a pot with plenty of water, a few drops of olive oil and salt. Meanwhile, sauté the broccoli in a pan with a drizzle of oil and add the chicken broth.
Cook over medium heat for about 8 minutes. Meanwhile, in another pan, cook the sausages with a drizzle of olive oil until browned. Add the onion and sauté for a few minutes. Finally, add the garlic and cook for one more minute. Once ready, mix the sausage sauté with the broccoli and add it to the pasta.