I think a pillow case would be a good alternative.. If not, there are some shops online like Etsy that have dust bags specifically for handbags.
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I have never even thought to use a pillowcase! It's so creative! I'm definitely trying this out!I believe the sale of dustbags on eBay is prohibited, so if you see one it probably won't be there for long.
If you can't get one directly from LV, many people here use pillowcases as dustbags. They'll serve the same purpose of keeping your bags clean and protected while you're not using them.