Dust isn't too much of a problem as with rain.
You should worry more if you get rain since it would wreak havoc on your camera's electronics and get moisture in your lens.
All you would probably need is a small bag or camera holster to store the camera in while in transit.
One you shoot however, it would be no problem not unless you get yourself into a sandstorm or fall off a cliff (God forbid) and start rolling down the slope with soil and dust churning about.
In any case, you should only worry about dust when changing out lenses, which you won't do since you will only bring along 1 lens (already attached).