In a large bowl, combine the warm milk, yeast, and honey. Let sit for 5–10 minutes until foamy.
Stir in melted butter, salt, and egg.
Add the whole wheat flour and mix well. Gradually add the all-purpose flour until a soft dough forms.
Knead for about 8 minutes until smooth and elastic. The dough should be soft but not overly sticky.
Place dough in a greased bowl, cover, and let rise for about 1 hour or until doubled in size.
Punch down dough and divide into 12–15 equal pieces. Shape into rolls and place in a greased baking dish or sheet pan.
Cover and let rise again for 30–45 minutes until puffy.
Bake at 375°F for 15–18 minutes, or until golden brown on top.
Brush warm rolls with melted butter and try—truly try—not to eat four immediately.