Brown sausage in a large pot. Drain off any excess grease.

Add potatoes and leeks to the pot. Cook until softened, about 10 minutes.

Pour in chicken broth and bring to a boil. Reduce heat and simmer until potatoes are tender, about 15 minutes.

Stir in heavy cream and spinach. Cook until spinach is wilted, about 2 minutes.

Serve hot.