Heat 1 tablespoon oil in a large nonstick skillet over medium-high heat. Add chicken to pan and cook for 4 minutes or until browned. Remove chicken from skillet.
Reduce heat to medium and add 1 teaspoon oil, onion and 1/4 teaspoon each salt and pepper to skillet and cook for 5 minutes or until softened. Add flour to skillet and cook 1 minute, stirring. Add broccoli, thyme and 1/2 cup water to skillet. Cover; cook for 4 minutes or until broccoli is crisp-tender.
Remove cover and add chicken, remaining 1/4 teaspoon salt, tomatoes and cream cheese to pan; stir until well blended.