A sheet product dispenser for dispensing a strip of a sheet product from a static center-feed coreless roll of sheet product is disclosed. The roll includes a central cavity. The dispenser includes a container for accommodating the roll, and a dispensing piece which protrudes toward an interior of the container from one end of the container and which includes a guidance between a receiving opening for receiving the strip of sheet product from the roll and a dispensing opening for dispensing the strip of sheet product outside of the dispenser. The dispensing piece is arranged to engage into the central cavity of the roll. The dispensers provide a dispensing opening so that withdrawal of a sheet product is facilitated by avoiding collapsing or clogging. Furthermore, the dispenser has a compact configuration that gains space during delivery and transportation.