In a large pot, heat a drizzle of oil over medium heat, then add the Italian sausage.
Add diced onion, carrots, and celery to the pot, stirring to combine.
Stir in minced garlic and cook for an additional minute until fragrant.
Pour in the chicken broth and bring to a simmer, scraping up any browned bits from the bottom of the pot.
Add the heavy cream and stir to combine, letting it heat through.
Stir in the grated Parmesan cheese, stirring until melted and smooth.
Season with dried Italian herbs, salt, and pepper to taste, then let simmer for 5 more minutes.
Serve hot, garnished with more Parmesan and fresh herbs if desired.