I would not and I urge the recipients of the quilts I make not to do this. The batting gets compressed and the loft will never be the same. Many years ago, when buying two high-end sleeping bags rated for low temperatures from a camping specialty store, the salesclerk mentioned not even storing the sleeping bags longterm in their nylon travel cases. The loft and temperature rating of the sleeping bags would be compromised, and that was what we were paying for.