USING SPRAY AND COOK, GREASE A 9X13" BAKING DISH.
PREHEAT OVEN TO 350 F.
SLICE 12 ROLLS IN HALF, PLACE BOTTOM HALF IN THE GREASED BAKING DISH. LAYER ROLLS WITH HALF THE CHEESE SLICES, THEN THE HAM, THEN THE REST OF THE CHEESE SLICES. PLACE TOP ROLL HALVES ON TOP AND SET ASIDE.
COMBINE BUTTER IN A SAUCE PAN OVER MEDIUM HEAT WITH MINCED SHALLOTS, ONCE MELTED.
COOK SHALLOT FOR ABOUT 1 MINUTE. TAKE OFF THE HEAT.
WHISK IN SALT, WORCESTERSHIRE, BROWN SUGAR, AND DIJON MUSTARD.
ONCE COMBINED, POUR EVENLY OVER ROLLS.
SPRINKLE WITH POPPYSEEDS, IF DESIRED!
COVER DISH WITH FOIL AND BAKE FOR ABOUT 12 MINUTES UNTIL CHEESE IS MELTED.
TAKE OFF TINFOIL AND BAKE UNCOVERED FOR ABOUT 3 MINUTES.
SWITCH OVEN TO "BROIL" TO TOAST THE TOPS OF THE ROLLS FOR A CRISPIER TOP, IF DESIRED.
WATCH CAREFULLY AND REMOVE FROM OVEN WHEN JUST STARTING TO BROWN.
SLICE INTO 12 ROLLS AND SERVE WHILE WARM.