Sweet Hawaiian Baby Burgers

Combine ground beef and Worcestershire sauce in medium bowl, mixing lightly but thoroughly. Shape into twelve 1/2-inch thick mini patties. Combine sauce ingredients in small saucepan; bring to a boil, stirring frequently. Remove from heat. Place pineapple slices on rack in broiler pan so surface of pineapple is 3 to 4 inches from heat. Broil 3 to 4 minutes, turning once and brushing with sauce. Remove pineapple; keep warm. Place patties in broiler pan so surface of beef is 3 to 4 inches from heat. Broil 7 to 8 minutes to medium (160 degrees F) doneness, until not pink in center and juices show no pink color, turning halfway through and brushing with sauce. Season with salt, as desired. Cut each pineapple slice into thirds. Line bottom of each roll with lettuce; top with burger, then with a slice of pineapple. Close sandwiches.