Skippy Peanut Butter does not contain any harmful ingredients to dogs including any xylitol.
The xylitol contained in some peanut butters is harmful to dogs but safe for humans unless the human is allergic to xylitol.
But if you're allergic to xylitol or you want to feed your dog some Skippy Peanut Butter you can safely eat it yourself or feed Skippy Peanut butter to your dog.
Walmart Peanut Butter and most other peanut butters do not contain any xylitol either.
The peanut butter jar or container should state if it's xylitol free or not so you can check and read the label before buying the peanut butter brand.
But if you're buying Skippy Peanut butter it's free of xylitol.