We have constructed an all-fiber single-frequency amplifier system and an additional all-fiber amplified spontaneous emission (ASE) source system to simulate the effect of generated backward ASE on stimulated Brillouin scattering (SBS) in master oscillator power amplification (MOPA) system. By injecting the artificial ASE source backward into the Yb-doped MOPA system directly and measuring the evolutions of SBS threshold power with the increasing ASE power level, we can get the changes of SBS process during the amplification. Effects of counterpropagating ASE on SBS threshold decreasing were obvious: When there was no counter-propagating ASE being injected, the backscattered power started to rise very slowly. However, with the added artificial ASE increasing, the backscattered power departed from linear quite early. And the SBS threshold power was reduced to different levels with different power level of additional ASE. As the artificial counter-propagating ASE power increased from 0 to 275.9mW, the SBS threshold power was correspondingly dropped down from 4.75W to 3.35W. The 30% reduction of the SBS threshold can be a siginificant influence in a single-frequency fiber amplifier.