Heat 1 tablespoon olive oil in an extra-large skillet or pot over medium-high heat.
Add the minced garlic and sauté about 30 seconds until fragrant.
Add the turkey sausage (with casings removed) and cook, breaking it up with a spoon, until no longer pink and cooked through, stirring occasionally.
Stir in the marinara sauce, diced tomatoes, chicken broth, and 1/2 cup water; bring the mixture to a light boil.
Add the refrigerated tortellini, toss to combine, press the pasta down into the sauce, then reduce heat to medium-low; cover and simmer until tortellini is cooked through, about 10 minutes, stirring once halfway through.
Stir in the chopped spinach and parsley, season with freshly ground black pepper (and salt only if needed), and gently toss until the spinach wilts.
Stir in the chopped basil, adjust seasoning, and serve warm.