01 -
In a large bowl, stir together the warm water, sugar, and instant yeast. Cover it up and let it sit for 5 minutes or so until you see bubbles forming. If you’ve got a stand mixer, grab the dough hook and attach it.
02 -
Toss in the salt, olive oil, and flour. Put your mixer on low and combine everything for about 2 minutes, just until it looks like dough.
03 -
Knead the dough by hand on a floured surface or let the machine do it for 5 minutes. Only add a pinch of flour if it’s sticking too much. The dough should feel soft and a bit sticky. Poke it lightly—if it springs back a little, you’re good to go!
04 -
Move the dough into an oiled bowl, turning it to coat. Cover it with a towel, plastic wrap, or foil, and leave it in a warm spot for 1 to 1.5 hours, until it doubles in size.
05 -
Turn your oven to 400°F to preheat while you work. Line a couple of baking sheets with parchment paper or silicone mats.
06 -
Punch down the dough and split it into 8 even bits. Roll each one into a rectangle, about 6 by 4 inches. Lay the ham and cheese on one half, fold the other half over, and pinch the edges shut. Use a fork to crimp all around, brush on the egg mixture, and make 2-3 small cuts on top for steam.
07 -
Pop the pockets into the oven for 20-25 minutes. Turn the trays halfway through so they bake evenly. Pull them out when they’re golden, then let cool for a few minutes before eating.