Spread a towel or pad over an ironing board to create a flat, even surface.
Spread the pilled sheet, pill side up, over the pad. Pull the sheet taut to expose the pilling.
Roll a sticky lint roller or clear tape over the pilled sheet. This removes small pills and pulls deeply entrenched pills up to the surface so they can be removed in the next step.
Run an electric razor or safety razor carefully over the sheet. The razor picks up the pills. Work in sections over the sheet, repeating until the sheet is free of pilling.