No.. that's why I put the old ones underneath. The old ones help hold them in place. The littel rubber spikes on the bottom of the rubber mats really aren't long enough to hold them to the floorboard. Also, the rubber mats are quite a bit smaller than the carpet ones.

Don't get me wrong, I really like mine. The really keep the dirt and grease out of the carpet. If you'd like, you can check mine out sometime before you buy some. They are on sale now for like 35 bucks a set on the subaru site.