Heat the olive oil in a pan over medium-high heat.

Squeeze the sausage from its casing and lightly brown it with the garlic.

Drain any excess grease and set aside.

Spray the slow cooker insert with a nonstick cooking spray.

Add the sausage and garlic, broccoli, and broth.

Cover and cook on low for five hours.

Prepare the rigatoni according to the package’s directions, or until the pasta is al dente.