Add the sweetened condensed milk, vanilla extract, and salt to a large mixing bowl. Whisk until well combined and set aside.

In the bowl of a stand mixer fitted with the whisk attachment, or in a large mixing bowl using a handheld mixer, add the heavy whipping cream. Start mixing on low speed. Once the mixture starts to increase in volume, increase the speed to medium-high and continue mixing until stiff peaks form.

Gently fold half of the whipped cream into the sweetened condensed milk, then fold in the remaining whipped cream until just combined. Carefully fold in the chopped Oreos.

Scoop the ice cream into a 9x5 loaf pan and smooth it out into one even layer. If desired, chop or crush 3 to 4 more Oreos and sprinkle them over the top.

Place a piece of plastic wrap directly on the surface of the ice cream and transfer it to the freezer to freeze overnight (or for at least 8 hours).