Heat the olive oil in a large skillet or Dutch oven over medium-high heat.
Add the sweet Italian sausage links and brown on all sides, about 8–10 minutes; transfer to a plate and set aside.
Reduce heat to medium and add the sliced onion and bell peppers to the skillet; sauté, stirring occasionally, until tender-crisp, about 8–10 minutes.
Stir in the minced garlic and cook until fragrant, about 1 minute.
Pour in the crushed tomatoes, then stir in the dried oregano, salt, and black pepper.
Return the browned sausage links to the skillet, nestling them into the tomato mixture, and bring to a gentle simmer.
Cover, reduce heat to low, and cook until sausage is cooked through and flavors meld, 20–25 minutes.
Taste and adjust seasoning if needed, then garnish with fresh basil leaves before serving.