Nope, it won't if you staple it correctly! When upholstering, be sure to always pull the fabric straight back, perpendicular to the edge, to avoid uneven stress on one side of the staple. Be sure your staples aren't at an angle either! Your staple gun should also be perpendicular to the edge so that the staples themselves are parallel to the edge. Also, be sure you pull your fabric evenly all the way around; don't pull tighter on the corners or anywhere else or it can cause puckering in the fabric and extra stress near the staples. And finally, make sure you use enough staples; large gaps between staples can cause puckering around the edges of your cushion and extra stress on the fabric near the staples.