A Closer Look at These Popular Paleo Diet Snacks. Paleo Diet Snacks: Nuts and Seeds. Nuts and seeds are a great snack to bring along on this diet, even in unlimited amounts. In fact, it's not Also, except for walnuts, almost all nuts have high levels of omega 6 restricted on the Paleo Diet. Also was the case with vegetable oils, if you don't get sufficient long chain omega 3 fatty acids in your diet (0.5 to 1.8 grams of EPA + DHA), nuts have a great ...
