Sprinkle chicken with thyme, salt and pepper.
Slice sausages into small pieces and cook over medium heat until no longer pink.
Drain and set aside. In a large saucepan heat oil and flour over high heat, whisking constantly, until smooth and dark brown, about 3-5 minutes. Add seasoned chicken to saucepan and simmer uncovered until chicken is cooked through, about 10 minutes. Season gumbo to taste with Tabasco, salt and pepper and serve immediately.