Heat olive oil in a large skillet over medium-high heat. Add the Italian beef sausage and cook until browned, about 5-7 minutes. Drain any excess fat.
Add minced garlic, chopped sage, and thyme to the skillet, sautéing for 1-2 minutes until fragrant.
Stir in chicken broth and butternut squash puree; simmer for about five minutes. Lower heat, slowly add heavy cream while stirring, and let simmer for another 3-5 minutes. Season with salt and pepper.
In a separate pot, bring salted water to a boil and add potato gnocchi. Cook until they float (about 2-3 minutes). Remove with a slotted spoon.
Transfer cooked gnocchi to the sauce and toss gently to coat.