The invention relates to a thick material pump having a first delivery cylinder, a second delivery cylinder and an additional cylinder. The additional cylinder serves for bridging a transition between the first delivery cylinder and the second delivery cylinder. The thick material pump comprises a movable tube portion which forms a connection between the first delivery cylinder and an outlet of the thick material pump in a first state and which forms a connection between the second delivery cylinder and the outlet of the thick material pump in a second state. The movable tube portion comprises a switchable closure which is arranged between an inlet end of the movable tube portion and the additional cylinder. The thick material pump according to the invention makes it possible for a uniform material flow to be delivered in the direction of the pump outlet.