Preheat the oven to 350°F. Slice the rolls in half lengthwise.
Place the bottom half of the rolls in a 9x13" baking dish. Fold 1 slice of deli ham and place it on top of each roll.
Add the 6 slices of Swiss cheese on top of the deli ham in a single layer.
Now make the butter mixture. Melt the butter in a small bowl in the microwave. Add the Dijon mustard, Worcestershire sauce and everything bagel seasoning to the bowl. Whisk all the ingredients together.
Place the top rolls on top of the ham and cheese. Using a pastry brush, brush the butter mixture over the tops of the rolls and the sides of the sandwiches. Brush several layers of the butter making sure the rolls are well coated. You can also carefully pour the butter mixture over the top if you don't have a pastry brush.
Loosely cover the baking dish with aluminum foil and bake for 15 minutes. After 15 minutes, remove the aluminum foil and continue baking for 5-7 minutes or until lightly golden brown.
*Hawaiian rolls have just the right amount of sweetness to compliment the savory & salty taste of the ham. They're also the perfect size to make party sliders. If you can't find Hawaiian rolls at your local store, you can substitute them with bakery dinner rolls. Dinner rolls are a little bigger than Hawaiian rolls, so you may need to add more ham and cheese to accommodate.**When picking deli ham, you’ll often find thinly sliced or regular sliced ham. I tested both and really liked the thickness of the regular ham slices. It also allowed me to use 1 slice per slider, whereas, with the thinly sliced ham, I needed to add 2 or 3 slices to make it a full slider sandwich. ***Swiss cheese has a milder flavor and pairs perfectly with these sliders, but feel free to use a different cheese if you prefer.