Yes, it does have a top and a tarp to go over, but I didn't put it on this time. And I didn't put it together really well either, just did a quick "throw it up" type job. The only place Tubby jumps these days is either onto the bed or onto the couch, and it's about the same with Peanut so I wasn't too worried, especially since I was out there with them the entire time.

However, if/when we do actually take them camping with us, the top will definitely be going on and it will be tethered down so they can't figure out how to get underneath it either. I'm taking no chances when we're not in our own backyard.