Add the pudding mix, baking soda, and kosher salt. Mix until combined. Add the flour. Mix again until well combined. Scrape down the sides of the mixing bowl as needed.
Add the white chocolate chips and chopped Oreos and mix on medium-high speed until they are well distributed throughout the cookie dough.
Line a baking sheet with parchment paper. Scoop ~2 tbs balls of dough onto the prepared cookie sheet. Cover and chill for at least 1 hour. Yes, this step is necessary.