Before you start to mix this up, be sure you pre-freeze the ice cream canister that goes with your ice cream maker; if you don't, your ice cream won't freeze.
In a large mixing bowl, combine the whole milk and sugar 'til the sugar dissolves, about 1-2 minutes.
Whisk in the heavy cream, vanilla extract, and sea salt.
Turn on the ice cream freezer, and pour the mixture into the freezer bowl with the churn paddle in place.
Then place the cover on top, and let it mix 'til it thickens, about 20-25 minutes.
About 5 minutes before the freezing is completed (the ice cream should have a soft, creamy texture at this point), add the crumbled Oreo cookies through the top of the ice cream maker, and let the cookie crumbles mix in completely.
Once the cookies are all mixed in, turn off the machine, and scoop the soft-serve ice cream into bowls for serving; or if desired, scoop it into an airtight container, and place it in the freezer for 2-3 hours to firm up more. Then serve when ready.