Hi Tanstar, I had a late November baby and used the cocoon. I feel you need it, or they sway about to much. In warmer weather, I just left it undone, you can push the top covering down towards there feet so they are uncovered, but still snug..Alternativey, my chiro recommended a head pillow, the type that is shaped like a "C" and you put arond the top of there head (from ear to ear I guess), to stop there head jiggling. I hope that makes sense!!