In a large pot over high heat, add olive oil. Once hot, add sausage, salt, and pepper. Sear for a minute on each side, then crumble and cook until browned. Remove sausage with a slotted spoon, leaving 1 tablespoon of grease in the pot and draining off the excess.
Reduce heat to medium. Add butter, onions, carrots, and garlic. Sauté until tender, about 7–9 minutes. Sprinkle flour on top and cook for another minute, stirring constantly.
Gradually add 1 cup of broth, whisking constantly to create a slurry. Add the remaining broth slowly, whisking and scraping the bottom of the pot.
Bring broth to a boil, then add pasta. Cook according to package instructions, minus one minute. Stir occasionally to prevent sticking.
Reduce heat to low. Add cream, kale, and sun-dried tomatoes, stirring well. Add Parmesan gradually, a few tablespoons at a time, to avoid clumping. Stir until melted, then add the sausage back in. Season with salt as needed. Add more broth for a thinner consistency, if desired.
Serve hot with hearty buttered bread on the side. Sprinkle red pepper flakes on top if you like some heat!
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Notes
Note 1: Quality matters! Choose mild or hot sausage based on your preference. If it’s in casings, slice the casing and squeeze out the sausage.Note 2: Any small pasta shape will work, as long as it cooks in 6–8 minutes. Avoid larger pasta shapes.Note 3: Use refrigerated, sandy-textured Parmesan cheese for the best flavor and melt. Do not use the shelf-stable type! It’s very salty and has less flavor.Storage: If storing leftovers, keep pasta separate from the soup to prevent the pasta from absorbing too much liquid and turning mushy. I use this to remove pasta and store them separately from the broth and veggies. Reheat gently, adding a bit more broth or cream if it’s too thick.Make ahead: If making ahead, prepare up to step 4, then remove cooked pasta and store in a separate container. Add cream, Parmesan, kale, and tomatoes to the broth. Stir through sausage. Store this mixture separately from pasta.