Preheat the oven to 400 °F
Line a baking sheet with tinfoil and give it a good spray with nonstick spray.
Beat 1 egg with 2 tablespoons of water and set aside.
Boil a small saucepan of water. Add the broccoli florets to the boiling water and blanch the broccoli for 2 minutes.
Drain the broccoli florets and transfer them to a cutting board. Finely chop the broccoli.
In a bowl, stir the broccoli and mustard together.
Divide the bread dough into 4 equal pieces. Using your fingers or a rolling pin, roll each piece of dough into a circle and place it on the prepared baking sheet.
Spread the broccoli/mustard mixture in the center of each dough circle.
Lay 1 ounce of reduced-fat cheddar and 1 ounce of deli ham in the center of each dough circle.
Fold up each end of the dough circle, and then fold it over lengthwise as if rolling a burrito. If necessary, use some of the beaten egg mixture as "glue" to hold the dough together.
Flip the dough packet over, seam-side down and use a sharp knife to cut 3 slits in the top of each packet. Brush with the egg-and-water mixture.
Bake in the oven at 400 °F for about for about 15 to 20 minutes. The hot pockets are done when they're golden-brown on the outside.