The best way to keep your grilled chicken caesar wrap from getting soggy is to wait until you are ready to eat to assemble it. That way, it doesn’t have time to get soggy. That being said, we all lead busy lives, and sometimes things need to be made in advance. If you need to preassemble your caesar wrap, try keeping the dressing on the side until it is lunchtime. That way, your lettuce will stay crisp, and your tortilla will remain dry. Win-win!