For the first time, broadband infrared dispersive mirrors exhibiting reflectance exceeding 99.6% and providing group-delay dispersion of -100 fs2 and -200 fs2 in the spectral range from 2 to 3.2 µm have been designed and produced in our group. The dispersive mirrors, based on Si/SiO2 thin-film materials, are key optical elements for mode-locked Cr:ZnS and Cr:ZnSe oscillators and pave the way for the development of ultrafast optics operating in the mid-infrared spectral range.