1In 4-quart Dutch oven, cook sausage, onions, carrots and garlic over medium-high heat 5 to 7 minutes, stirring frequently, until sausage is no longer pink; drain.
2Stir in remaining ingredients except clams, linguine and cheese. Heat to boiling; reduce heat to medium-low. Partially cover and simmer 10 minutes. Meanwhile, cook and drain linguine as directed on package; keep warm.
3Add clams to sausage mixture. Cover and cook over medium-high heat 5 to 7 minutes or until clams open. Discard any unopened clams. Serve clam sauce over linguine. Serve with cheese.