Preheat the oven to 350 degrees. Without breaking apart the individual rolls, slice them in half horizontally. Place the bottom halves of the rolls in a 9-by-13-inch baking dish.

In a small bowl, use a fork to whisk together the butter, Worcestershire, mustard, and garlic until smooth. Brush half of the butter-mustard mixture onto the cut-sides of the bottom half of the rolls. Layer half of the cheese over the rolls, then the ham, and finish with the remaining cheese. Place the top half of the rolls on top of the sandwiches. Brush the tops with the remaining butter-mustard mixture. Sprinkle with poppy seeds.

Cover with foil and bake for 20 minutes. Remove the foil and bake for another 4 to 6 minutes, until the tops of the rolls begin to brown. Serve the sandwiches warm.