An apparatus for transporting printing sleeves is provided. The transport apparatus includes a housing with a bottom wall, a plurality of side walls, and at least one cover. A plurality of reception devices are mounted in the housing. Each reception device receives a printing sleeve in a vertically oriented transport position with a longitudinal mid-axes of the respective printing sleeve extending vertically. Each reception device is movable out of the housing into an outside position when the at least one cover of the housing is open. Each reception device is pivotable in the outside position such that the corresponding printing sleeve can be moved out of the vertical transport position into a horizontal extraction or insertion position.