Heat olive oil in a large skillet. Wash and slice leeks into 1/4 in slices. Mince garlic. Add leeks and garlic to skillet, cook 2-3 minutes until garlic is aromatic.
Cut sausage into 1/4 in pieces, add to skillet, cook for 2 minutes, add broth, sliced peppers; boil and reduce liquid.
Add spinach and allow to wilt; 1 minute. Remove from heat, add pasta to mixture, sprinkle basil and parmesan cheese just before serving.