Combine the dry ingredients and set aside.
Beat the butter with the sugar until smooth. Add in the eggs and vanilla extract and mix again.
Add in the dry ingredients and mix until combined, then gently fold in the chocolate chips.
Scoop out the cookie dough into even balls then flatten slightly and place an Oreo over half of the dough pieces, and cover with the other pieces. Very carefully roll each sandwich into a smooth cookie dough ball with the Oreo in the center.