A transfer system for removing sleeve-shaped workpieces from a first conveyor and for pushing the sleeve-shaped workpieces onto a second conveyor, having a linear drive which comprises a drive housing and a coupling rod, which is accommodated in a linearly movable manner on the drive housing, for providing a linear movement along an axis of movement, wherein a gear unit is arranged at an end region of the coupling rod remote from the drive housing, said gear unit comprising a swivel body which is mounted so as to be pivotable about the axis of movement and on which a first workpiece gripper and a second workpiece gripper are arranged so as to be rotatable about a first axis of rotation, and wherein the gear unit comprises an adjuster, which is designed for initiating an actuating movement for setting a distance between a first gripping region of the first workpiece gripper, which is arranged at a distance from the axis of movement in the radial direction, and a second gripping region of the second workpiece gripper, which is arranged at a distance from the axis of movement in the radial direction, and having a pivoting drive, which comprises a swivel drive housing coupled to the drive housing and a swivel shaft mounted on the swivel drive housing so as to be swivellably movable, the swivel shaft being designed for initiating a swivelling movement on the swivel body and for actuating the adjuster for initiating a forced swivelling movement connected to the swivelling movement on the first workpiece gripper.