Spray the bottom of a stockpot with nonstick spray. Add the broccoli stems, carrots, onion and celery. Sauté over medium heat for 5 minutes. Stir in the wine, thyme, oregano and basil, and simmer for 15 minutes or until the liquid is reduced by half.
Add the cubed chicken, broth and beans to the mixture in the stockpot. Cook over low heat for 3 to 5 minutes or until heated through.
Stir in the evaporated milk and broccoli florets. Cook for 5 minutes, stirring constantly to prevent the soup from boiling. Add in the Worcestershire sauce and Tabasco and cook for 2 minutes.