A phototherapy system for an infant having eyes, the system comprising: an infant-supporting body configured to support an infant on a top-surface thereof; one or more sensors that generate one or more output signals conveying information related to a position of the infant on the top-surface of the infant-supporting body; a set of light sources carried by the infant-supporting body, wherein the set of light sources is configured and arranged such that, responsive to activation of a subset of the set of light sources, electromagnetic radiation emitted by the subset of the set of light sources is guided through the top-surface of the infant-supporting body; and one or more processors configured to execute computer program modules, the computer program modules comprising: a position module configured to determine the position of an infant on the top-surface of the infant-supporting body and to determine whether the eyes of the infant are facing away from the top-surface of the infant-supporting body, wherein the determination is based on information from the one or more sensors; and a light module configured to control one or more subsets of light sources of the set of light sources based on the determined position of the infant and the determination whether the eyes of the infant are facing away from the top-surface of the infant-supporting body such that the emitted electromagnetic radiation provides phototherapy for the infant but does not directly impinge on the eyes of the infant. an infant-supporting body configured to support an infant on a top-surface thereof; one or more sensors that generate one or more output signals conveying information related to a position of the infant on the top-surface of the infant-supporting body; a set of light sources carried by the infant-supporting body, wherein the set of light sources is configured and arranged such that, responsive to activation of a subset of the set of light sources, electromagnetic radiation emitted by the subset of the set of light sources is guided through the top-surface of the infant-supporting body; and one or more processors configured to execute computer program modules, the computer program modules comprising: a position module configured to determine the position of an infant on the top-surface of the infant-supporting body and to determine whether the eyes of the infant are facing away from the top-surface of the infant-supporting body, wherein the determination is based on information from the one or more sensors; and a light module configured to control one or more subsets of light sources of the set of light sources based on the determined position of the infant and the determination whether the eyes of the infant are facing away from the top-surface of the infant-supporting body such that the emitted electromagnetic radiation provides phototherapy for the infant but does not directly impinge on the eyes of the infant. a position module configured to determine the position of an infant on the top-surface of the infant-supporting body and to determine whether the eyes of the infant are facing away from the top-surface of the infant-supporting body, wherein the determination is based on information from the one or more sensors; and a light module configured to control one or more subsets of light sources of the set of light sources based on the determined position of the infant and the determination whether the eyes of the infant are facing away from the top-surface of the infant-supporting body such that the emitted electromagnetic radiation provides phototherapy for the infant but does not directly impinge on the eyes of the infant.