In the bowl of a stand mixer, cream together the butter and sugars. Add in the eggs and vanilla and mix until well combined.
In a separate bowl, mix the flour, baking soda, and salt. Slowly add to the wet mixture and combine thoroughly. Stir in the chocolate chips.
Chill the dough for 15 minutes to make it easier to work with and to keep the dough from spreading when baking.
Using a cookie scoop place one scoop of dough on top of an Oreo cookie. Place another single scoop on the bottom of the Oreo to create a cookie sandwich. Seal the edges together to completely close in the Oreo.
Place the balls of cookie dough on a parchment lined baking sheet and bake for 9-13 minutes. Let cool for 5 minutes and then transfer to a wire rack.