The temperature and pump power dependence of infrared luminescence of Cr(4+):forsterite are measured. It is demonstrated that temperature-dependent fluorescence in Cr(4+):forsterite is the major reason for saturation of the output power of a continuous-wave laser. At higher pump intensities the temperature rise inside the crystal becomes significant, and even outside cooling does not help to prevent significant reduction of the laser performance. These measurements serve as a guideline to construct a high-power continuous-wave Cr(4+):forsterite laser.