Place your Instant Pot on saute mode. Let heat for a few minutes. Add the olive oil and the sausage, stirring frequently, and cook until browned. Remove from the pot.
Add the carrots, onion, and celery. Cook for a few minutes, stirring frequently, until the onion has softened.
Add the garlic and cook for 30 seconds to 1 minute, or until fragrant.
Add back in the sausage. Add the tortellini, salt, pepper, rosemary, and broth.
Secure your Instant Pot lid. Select high pressure for 5 minutes and hit start.
When 5 minutes have elapsed, carefully release the pressure using the quick release/manual method.
Stir in the spinach. Taste for seasoning. Garnish with parmesan and parsley, if desired, and serve right away.