A basket structure for a stroller is formed with a basket tube extending around the upper surface of the basket structure from one seat tube to the laterally opposing seat tube. The basket tube is a single formed tubular member that extends rearwardly from the seat tubes and bends downwardly at a rearward end thereof to define an access opening. The formed basket tube is depressed at the access opening below the surface against which the seat back is located when lowered into a reclined position. The access opening, therefore, remains open and allows access into the interior of the basket, even when the seat back is reclined, without disturbing the child positioned in the seat.