Follow directions for box mix. Combine dry ingredients of roll mix with included yeast packet.
In the bowl of stand mixer with a hook attachment, combine dry ingredients with water, butter, and egg. Mix until dough pulls away from sides of bowl. Turn dough out onto a lightly floured surface and knead for a couple minutes until dough is smooth.
Cover dough in greased bowl. Let rest for 5 minutes.
Roll dough out to a 15×10” rectangle. Spread 1/3 cup of pesto evenly over the dough. Starting with the shorter side, roll up tightly, pressing edges to seal.
Cut log into 12 equal slices. Place cut side down on a greased 13×9” pan. Cover loosely with plastic wrap and let rise for 30 minutes.
Preheat oven to 375 degrees F. Uncover rolls. Bake for 20-30 minutes until golden brown.