An oral medication delivery system by which to deliver a medication to a user over time, especially a baby or a young child. The medication delivery system includes the combination of a solid dose of oral medication (e.g., a tablet) and a pacifier. The pacifier includes a nipple having a hollow interior within which the oral medication is located and a plurality of perforations formed therein through which the medication is dispensed when the nipple is placed in the mouth of the user to dissolve the medication and the user applies a sucking force to the nipple. The pacifier has a proximal end at which the nipple is located and an opposite distal end that is detachably connected to and separated from the proximal end so that a new dose of oral medication can be located within the nipple to replace a dose which has dissolved in the user's mouth.