In optical pulse compression experiments in the femtosecond regime, cubic phase distortion can adversely affect the compression ratio. This distortion arises from both the cubic phase of the grating pair used in such experiments and also from pulse propagation in the fiber, when taking into account the cubic order dispersion and shock terms. We numerically analyze how the cubic distortion, which leads to nonlinearly chirped pulses, can be compensated by Gires–Tournois interferometers. We discuss design considerations and show how the use of such interferometers can lead to even shorter optical pulses by utilizing more of its available bandwidth.