A coverslipping machine (1) is embodied to be connected to an electrical power grid in order to be supplied with electrical energy as an electrical load; and removes specimen slides (4), having samples present thereon, from a specimen slide magazine (5) and respectively carries out a coverslipping process in which a mounting medium (7) and then a coverslip (8) are applied onto each specimen slide (4); and deposits the coverslipped specimen slides (4) in the specimen slide magazine (5) or in a further specimen slide magazine (55). The coverslipping machine (1) has an electrical energy reservoir (12) and an electronic control apparatus (13). The electronic control apparatus (13) detects disruptions in the supply of electrical energy from the power grid and, in the event of a disruption, switches over to a withdrawal of electrical energy from the electrical energy reservoir (12), and carries out a safety routine that includes at least the safety steps of completing the coverslipping of specimen slides (4) already equipped with the mounting medium (7), and then depositing them in the specimen slide magazine (5) or in the further specimen slide magazine (55).