I've gotten a drawstring dust cover..mine says Louis Vuitton on it..not LV..but I think that they come like that too.
I just checked mine and it says Louis Vuitton, not LV like the picture shows.
I actually really like it better. I'm gonna go tomorrow to see if i can get another one for my mono speedy..with this one i don't have to fold it into that "star" shape to store away.