PREHEAT oven to 375° F.
BEAT butter and sugars in large bowl until creamy. Add eggs, milk and vanilla extract; beat well. Add combined flour, baking soda and salt; mix well. Stir in oats, morsels and nuts; mix well. Drop dough by rounded tablespoonfuls onto ungreased baking sheets.
BAKE for 9 to 10 minutes for a chewy cookie or 12 to 13 minutes for a crisp cookie. Cool on baking sheets for 1 minute; remove to wire rack to cool completely. Store tightly covered.