BRAND NEW 7 Stacinator Fleece diaper covers, size Small. 3 cream, 2 burgundy, one pink floral, one blue lambs Deluxe Fleece Diaper Covers Fleece diaper covers are great for your cloth diapers because they are very breathable. The fabric itself is very soft and durable and takes the moisture away from your child's skin. This is a no-pill, tightly woven fabric. Many moms who have used fleece of all kinds, swear by this brand of fleece for superior wetness protection and prevention of leaks.