A rotor for an electrical machine may include a rotor shaft, a hollow inner shaft, two end discs, and at least one outlet opening for discharging cooling medium. The rotor shaft may be configured as a hollow shaft having an inner lateral surface. The inner shaft may be arranged in the rotor shaft and may include at least one opening at least in one axial center for ejecting cooling medium onto the inner lateral surface of the rotor shaft to cool the inner lateral surface. The two end disks may delimit an interior of the rotor shaft in an axial direction. Each of the two end disks may include a central through opening through which the inner shaft is guided. The at least one outlet opening may be disposed in at least one of (i) each of the two end disks and (ii) a lateral surface of the rotor shaft.