Remove both pieces of dough from the fridge.
Place the Chocolate Cookie Dough on top of the Vanilla Cookie Dough. Keep the baking paper underneath the Vanilla Cookie Dough.
The next step requires the dough to be soft and pliable for rolling, so you will need to allow the dough to come to room temperature before continuing. If you try to roll the dough when it is too cold, it will be difficult to roll and it may also crack.
Once the dough is soft and easy to handle, use the baking paper underneath the Vanilla Cookie Dough to lift up both pieces of dough.
Start rolling the cookie dough into a tight log. Use the baking paper to firmly roll the dough, making sure there are no gaps in the layers.
Once all of the dough has been rolled into a log, gently press the edges into the side of log so that you have a nice, round log.
Roll the cookie dough log in the baking paper.
Place the cookie dough log in the fridge for 30-60 minutes to chill.