Hello,
The leaflet doesn't actually say it fits a standard Kleenex box. Here is what on the leaflet:
"Tissue Cover loosely covers a 4 5⁄8" x 9 3⁄8" x 3 1⁄4" tall [11.7cm x 23.8cm x 8.3cm] tissue box"
Since it states loosely, I would assume that you give a little on the size of the Kleenex box a bit but it might be a tighter fit if the Kleenex box is a little bigger than the dimensions above. You could always cut your mesh a little bigger if need be too.
~Kristi @ EPC