Would never use a "new" sheet as it does have an oil that will leave spots on your fabric........I store lots of my fabric (on my WIP projects, not general stash) and really have had no need to add a "fragrence".....However if you save used sheets (those that have gone thru dryer a couple of times) believe you would be OK as the oils containing the fragrence would be gone - but then you wuld not have the strong smell from the sheets either.