In this paper, we study the generation of high-quality ultrashort soliton pulses in dispersion-decreasing fibres with the inclusion of fibre loss in the integrable case. Five closely shaped profiles, namely linear, hyperbolic, exponential, logarithmic, and Gaussian, have been considered. The effects of these dispersion profiles and fibre loss on the performance of pulse compression in dispersion-decreasing fibres have been analysed. The pulse is compressed adiabatically by keeping the soliton property of conservation of pulse area provided the fibre loss is less than the critical value. Both analytical and graphical results show that, out of the five different profiles considered, the Gaussian profile is the optimum profile for achieving maximum pulse compression.