The adiabatic compression of ultrashort pulses from a DFB laser operating at 1550 nm in the fibers with slowly decreasing dispersion (FSDD) is investigated. High quality soliton compressions from 4.4 ps down to 1.1 ps in a 100 m FSDD and from 4.4 ps down to 830 fs in a 500 m FSDD are obtained. Furthermore, the results show that FSDD with more slowly decreasing can benefit to the pulse compression. Theoretical analyses are in good agreement with experimental results.