Mix the flour, yeast, sugar and salt in a bowl. Add water and olive oil. Dust the dough with flour and let rise until it has doubled (30-60 minutes).
Then knead the dough briefly on the work surface and roll out into a rectangle (about 25 x 60 cm). Spread the pesto in blobs. Leave a 1 cm border all around. Roll up from the long side and place on the baking sheet (with parchment paper). Wind the roll into a snail. Brush with water and sprinkle with salt. Cover and wait again until it has enlarged (about 20 minutes).
Bake at 180-200 degrees (preheated) for about 35-40 minutes. Let cool on a wire rack.