The Silver war Nickels are notorious for this. I'm not sure what a fair price would be, but I know it is common to see laminations on these Nickels. I have found several over the years.
EDIT: The value would be determined by what it is worth to you. If you like the coin and can afford it, buy it. I am guessing around $5.00 - $10.00 for an average lamination on a war Nickel, one this large may be worth paying a little more for.