We numerically and experimentally studied the shape of the dissipative dispersion-managed solitons (DM-solitons) stably propagating over the lossy DM fiber-optic systems with lumped amplification. We found that, contrary to the lossless case, the chirp-free points of the dissipative DM-solitons are not located in the middle of the fiber spans in the dispersion map. This constitutes a qualitative difference between the dissipative DM-solitons of the lossy systems and the conservative ones of the lossless systems. The applied numerical method was verified both experimentally and by numerically solving nonlinear Schrodinger equation. (C) 2019 Optical Society of America