In the bowl of a stand mixer fitted with the dough hook attachment, combine the active sourdough starter, warm milk, eggs, bread flour, salt, granulated sugar, and orange zest.
Mix on low speed until a shaggy dough begins to form.
With the mixer running on low speed, gradually add the softened butter, approximately one tablespoon at a time. Allow each addition to become incorporated before adding more.
Increase the mixer speed to medium-high and knead for approximately 8–10 minutes, or until the dough becomes smooth, elastic, and begins pulling away from the sides of the bowl.
The dough should feel soft and slightly tacky but should not be excessively sticky. Avoid adding unnecessary flour, as this can result in dense, dry orange rolls.