Step 1

In 5-quart Dutch oven, heat oil over medium-high heat. Add sausage; cook 6 to 8 minutes, stirring frequently, until cooked through. Drain, and set aside.

Step 2

Clean out Dutch oven; melt 2 tablespoons of the butter over medium heat. Add onions and thyme; cook 4 to 6 minutes, stirring frequently, until onions begin to brown and soften. Add remaining 2 tablespoons butter, and stir to melt; stir in mushrooms and celery. Increase heat to medium-high; cook 4 to 5 minutes, stirring occasionally, until mushrooms release juices and then brown.

Step 3

Stir in wine; simmer 3 to 4 minutes, scraping pan to release browned bits. Once liquid is almost evaporated, stir in sausage, broth and whipping cream; stir in wild rice. Heat to boiling over high heat; cover, and cook over medium-low heat 1 hour to 1 hour 10 minutes, without stirring, until rice is tender. Top with parsley and walnuts.