Abstract: The combination of a headwear piece having: a) a crown with a wall having an inside surface bounding a space for receiving a part of a wearer's head; and b) a rim/bill projecting from a forward region of the crown; and an accessory having a body with a thickness between front and rear sides and made from a material that substantially blocks migration of moisture therethrough. The accessory has an array of small openings extending through the body thickness to provide for air passage. The accessory is configured to be placed in an operative position against the inside surface of the crown wall at the forward region of the crown to reduce contaminant transmission from a wearer's head to the inside surface of the crown wall at the forward region.

Abstract: The combination of a headwear piece having: a) a crown with a wall having an inside surface bounding a space for receiving a part of a wearer's head; and b) a rim/bill projecting from a forward region of the crown; and an accessory having a body with a thickness between front and rear sides and made from a material that substantially blocks migration of moisture therethrough. The accessory has an array of small openings extending through the body thickness to provide for air passage. The accessory is configured to be placed in an operative position against the inside surface of the crown wall at the forward region of the crown to reduce contaminant transmission from a wearer's head to the inside surface of the crown wall at the forward region.