Abstract─ We investigate the optimisation of the length of an un-pumped erbium doped fibre (EDF) in order to suppress amplifier noise in a linear-cavity fibre laser structure. The experimental results demonstrate the existence of an optimum length of the un-pumped EDF which eliminates noise due to high optical pumping powers, thus leading to a stable laser output.Index Terms─ Fibre laser, saturable absorber, erbium doped fibre, linear cavity, amplifier noise.