The hot gases routed into a suppressor during firing will quickly turn it into a branding iron. I have the burn scars and melted nylon gear to prove it. This heat causes other problems too, including distortion of the target image through optics and distinct thermal and IR signatures that are easily detectable at night. I have seen many a military can turn cherry-red after sustained night firing.
Fortunately, the Suppressor Sock from War Sport Industries deals with all of these problems while also providing a protective camouflage cover. I used a Suppressor Sock throughout the hot Carolina summer and was able to remove the test cans bare-handed, regardless of the number of rounds fired. The material does not melt or put off noxious fumes when hot. This nifty sleeve stays in place by itself, but an optional retaining band may be routed through a sewn-in loop for active environments. The Suppressor Sock combines proprietary heat-insulating material with a patent-pending, layered design that channels air and heat to aid rapid cooling, and it's currently in use with select U.S. military units. They are available for multiple suppressor models from most of the major manufacturers.