Heat olive oil in a skillet, add sausage meat and crumble, cook until color changes but not browned.
Add minced onion, carrot, celery, and parsley, cook until caramelized.
Add crushed tomatoes, thyme, rosemary, and simmer until thickened.
Mix tomato paste with hot water, add to the pan and continue cooking until velvety.
Cook pasta until al dente, then toss in the sauce until coated.
Serve the pasta sprinkled with Parmesan cheese.
