Prepare 2 loaf pans by lightly greasing the inside and fitting them with parchment paper, leaving a slight overhang on both sides.
Once the dough has doubled in size, turn the dough out onto a lightly floured surface and cut it in half.
Shaping the loaves. Flatten one of the pieces of dough into a rectangle about double the size of the bread pan.
Then roll the dough up, tucking in the edges as you go to shape the dough into a loaf form.
Place the dough (seam side down) into one of the prepared bread pans. Repeat this process with the other half of the dough.
Place the loaves in a warm place for about an hour, covered gently, until they are puffy and have risen over the edges of the loaf pans.
Prepare the egg wash by adding the egg and 1 tablespoon of water to a small bowl. Stir or whisk until well combined.
Using a pastry brush, brush the tops of the loaves with the egg wash.
About 45 minutes into the second rise, preheat the oven to 425°F (220ºC).
Once the oven is preheated and the loaves have risen for about an hour, place the dough in the oven and bake for 15 minutes.
After 15 minutes, reduce the heat of the oven to 350°F (180ºC) and bake for another 20-25 minutes or until the top is golden brown and the bread has reached a minimum internal temperature of 190-210ºF (88-99ºC).
Remove the bread from the oven, transfer to a cooling rack (keeping the bread in the bread pan), and allow to cool for 15 minutes.
Remove the bread from the bread pans and allow it to cool on a cooling rack for at least 15 minutes before cutting into it (although 1-2 hours is best for the crumb).
Enjoy the sourdough whole wheat bread as a sandwich bread, or toast it with some butter and jam.