one-size diaper noun1 •(US, Canada) A type of cloth diaper which can be adjusted and lengthened to match the baby's growth, thus allowing the diaper to be worn from around birth (by a newborn) to potty-training age.Yes, now there is a one-size diaper for all age babies—the famous Dexter Diaper. Mothers everywhere are enthusiastic about the way they fit! their neatness and comfort to baby. — 1954 formsone-size diapers