In a large pot over medium heat, cook the crumbled spicy sausage, diced onion, and minced garlic until the sausage is no longer pink and the onions are translucent, about 8 minutes. Drain any excess fat.
Stir in the Italian herb blend, smoked paprika, tomato paste, and red pepper flakes, mixing well for another 2 minutes.
Pour in the chicken broth and bring the mixture to a boil. Add the potatoes and carrots, then reduce the heat to a simmer. Cover the pot and let cook until the potatoes are tender, about 20-25 minutes.
Once the potatoes are cooked through, fold in the fresh spinach and stir until just wilted. Then pour in the heavy cream, mixing to combine. Adjust seasoning with salt and additional red pepper flakes to taste.
Ladle the soup into bowls and garnish with fresh thyme before serving.