Preheat your oven to 375°F. Unroll the crescent dough and separate it into individual triangles. Place each hot dog at the wider end of the dough triangle and roll it toward the pointed end, securing the hot dog inside the dough. Arrange the wrapped hot dogs on a baking sheet, leaving some space between each.

In a small bowl, whisk together the egg and water until combined. Lightly brush this mixture over the tops of the dough-wrapped hot dogs. Sprinkle caraway seeds on top, pressing them gently into the dough for better adherence.

Bake in the preheated oven for 12 to 15 minutes, or until the dough is golden brown and cooked through. Serve warm and enjoy!