Prepare sausage according to package directions. Cool slightly, then cut into 1/4-inch slices.

Prepare pasta according to package directions. Set aside.

Warm olive oil in a large saucepan over medium-high heat. Sauté onion and garlic in olive oil until tender. Stir in tomatoes and chicken broth; bring to a simmer.

Add broccoli and cooked pasta to tomato mixture. Cook until broccoli is tender, about 5 minutes. Add sausage; toss to combine.