In a stand mixer or mixing bowl, cream the softened butter with the white and brown sugars.
Add 1 egg at a time, mixing into the creamed sugars.
Then mix in the vanilla.
In a mixing bowl, whisk together the flour with the baking soda and salt.
Add the flour mixture to the wet ingredients, 1 cup at at time.
Mix until cookie dough forms. Add in the espresso morsels and the white chocolate morsels, and mix into the dough.
Cover the dough with plastic wrap and chill in the fridge overnight.
About 1 hour before baking, remove the dough from the fridge and let it warm up on the counter.
Preheat oven to 350 F. Place a silicone baking mat on a baking sheet.
Use an ice cream scoop to transfer the dough onto prepared baking sheet.
Bake in the preheated oven for 9 to 11 minutes.
Remove from oven and transfer to cooling rack. Let cool for 5 minutes before enjoying a warm cookie with a cold class of milk.