In the bowl of a stand mixer add the water, sourdough starter, olive oil, and honey. Pulse until combined.
Add 2 cups of the flour, cover and let soak for 30 minutes to 1 hours.
Add the salt and continue adding flour 1/2 cup at a time on low speed until you have a soft dough that cleans the sides of the bowl.
Knead on speed 2 for 10 minutes or until the dough is stretchy and smooth.
Place the dough in a lightly greased bowl and cover with plastic wrap.
Let rise overnight or for 8-24 hours in a warm spot.
The next day, turn dough onto a lightly floured work surface.
Divide into 12 equal pieces.
Roll each piece into a round dough ball and pinch the seam closed.
Put shaped rolls on a parchment paper lined baking sheet.
Cover with plastic wrap or damp tea towel and let rise for 1 to 1 1/2 hours.
Preheat the oven to 375 degrees F.
Brush tops of the rolls with an egg wash.
Bake for 25-30 minutes or until golden brown.
Let cool completely before storing.