Well, I bought ordinary carpet runners and yoga mats for anti-slip in the house for an aged dog. But I just put an old bedspread in the back of the jeep too, well anchored where I can under seat sides and folded down front and the back floor, and it's fine. I think simple weight shift on corners is going to send pooch lurching a bit. How fast are you going anyway? LOL. You could look into dog safety recommended crates for vehicles.