Cut chicken fillets into long narrow strips. Heat oil in wok or heavy skillet and swirl gently to distribute evenly over bottom and sides of pan. Add chicken and stir-fry for 2 min until cooked through.
Stir in carrots, bell bell pepper, celery, broccoli and nuts, add sauce and stir-fry 2 min over high heat. Remove from the plate and serve with steamed long grain rice.