A dispenser for rolled absorbent web material is disclosed. A carriage is rotatable between at least two orientations. The carriage includes a first roll holder, which holds a first roll of absorbent web material in a primary position when the carriage is in a first orientation and in a secondary position when the carriage is in a second orientation, and a second roll holder, which holds a second roll of absorbent web material in the secondary position when the carriage is in the first orientation and in the primary position when the carriage is in the second orientation. A roll sensor senses the amount of absorbent web material remaining on the roll in the primary position. A feed mechanism dispenses absorbent web material from at least one of the rolls. A transfer mechanism feeds absorbent web material from the roll in the secondary position into the feed mechanism when the absorbent web material on the roll in the primary position is nearly depleted.