Preheat the oven to 350°F (180°C).
Butter cookie sheets or line with parchment paper.
Beat ¾ cup unsalted butter in a large mixing bowl until smooth, about 20 seconds.
Gradually add 1 cup light brown sugar and ½ cup white sugar and beat for 2 minutes, until creamy, scraping the sides of the bowl as needed.
Add 1 egg and beat at medium speed for 3 minutes, scraping the sides of the bowl a few times.
Add 2 tablespoons whole milk, ¼ teaspoon ground cinnamon and 1 teaspoon vanilla extract. Mix until incorporated.
Add 1 ¼ cups all-purpose flour ½ teaspoon baking soda (sifted to avoid lumps), and ¼ teaspoon salt to the butter mixture. Mix at low speed just until well blended and no dry spots remain. Don't overbeat at this point.
Mix in 3 cups old-fashioned rolled oats in two parts so they're easier to incorporate.
Add 1 cup chopped walnuts and mix well. I use a for this part. Make sure no flour remains in the bottom of the bowl. At this point, the cookie dough can be refrigerated for up to a day. See note below.
Scoop out portions onto the prepared sheets, leaving space between them, an inch or two, depending on the size of the cookie. If making larger cookies I flatten them slightly with my finger tips so there's less chance of the center taking too long to bake and the sides being too brown.
Bake for 10-12 minutes, depending on the size, until golden brown and still soft in the center. I use a 1.5-inch cookie scoop and bake them for exactly 10 minutes.
Smack the pan lightly on the counter immediately after you take it out of the oven. It will deflate the cookies a little and help with the texture.
Let cool on a wire rack before lifting them carefully from the paper and cooling them completely. As soon as they cooled down completely, transfer the cookies to jars or an airtight container.