1. A unitary infant carrier comprising an elongate, flexible sheet folded about its longitudinal axis to form an elongate, generally tubular body including an enclosure portion, and connected adjacent its opposite ends to form a closed loop, means defining an opening into said body along the inner circumference of said loop adjacent one end of said enclosure portion, means defining an infant-receiving pocket in said enclosure portion, exposed by said opening, infant support means disposed adjacent said pocket and extending along said enclosure portion, comprising a resilient, semirigid pad, means defining another pocket adjoining said infant-receiving pocket and removably receiving said pad, and an elongate reinforcing band joined to said sheet along its longitudinal axis and extending circumferentially about said loop outwardly of said pockets and support pad.