We　demonstrate　the　compression　of　noise-like　pulses　in　an　Yb-doped　fiber　master-oscillator　power-amplifier　(MOPA).　The　seed　source　of　the　MOPA　is　an　NPR　mode　locked　fiber　laser　delivering　5.94-ps　dissipative　soliton　pulses　with　a　repetition　rate　of　37.48　MHz.　After　amplification　in　the　Yb-doped　fiber　amplifier,　stable　noise-like　pulses　with　maximum　power　of　5　W　are　obtained.　Subsequently　a　grating　pair　is　used　to　tailor　the　spectrum　and　compensate　the　dispersion　of　the　amplified　noise-like　pulses.　The　pedestal　of　de-convolution　autocorrelation　trace　is　compressed　from　6.5　ps　to　920　fs.　To　the　best　of　our　knowledge,　this　is　the　first　time　that　the　pedestal　of　a　noise-like　pulse　is　compressed　to　femtosecond　region.　(C)　2019　Optical　Society　of　America　under　the　terms　of　the　OSA　Open　Access　Publishing　Agreement