Spray a cookie sheet with cooking spray. Place ham and Swiss cheese slices on the bottom of the rolls and cover with roll tops.

Mix butter, brown sugar, Worcestershire, mustard, and poppy seeds together in a small bowl and spoon over sandwich tops. Let sit, 4 hours to overnight.

Preheat the oven to 400 degrees F (200 degrees C).

Bake in the preheated oven until golden and cheese is melted, about 25 minutes.