Cook the meat: Brown the ground turkey or Italian sausage in a skillet until fully cooked. Drain any excess grease.
Add to crockpot: Place the cooked meat in your slow cooker. Add vegetable broth, diced tomatoes (with juices), cream cheese, minced garlic, and seasonings.
Slow cook: Cover and cook on HIGH for 3 hours.
Add tortellini and spinach: Stir in the cheese tortellini and fresh spinach. Cover and cook for an additional 45 minutes to 1 hour, or until the tortellini is tender.
Serve: Ladle into bowls and top with freshly grated Parmesan cheese.