Using a dynamical Langevin equation coupled with a statistical decay model,we calculate the excess of the pre-scission neutron multiplicities over its standard statistical-model values as a function of the nuclear dissipation strength for the three nuclei 190Os,200Hg,and 210Po which have the same neutron-to-proton ratio N/Z.We find that by decreasing the size of the fissioning nuclei,the effects of nuclear dissipation on the excess of the pre-scission neutron multiplicity are substantially amplified,and that the sensitivity of this excess to the nuclear friction strength is considerably increased as well.We suggest that for those fissioning systems with the same N/Z that are populated in fusion reactions,to obtain a more accurate information of the nuclear dissipation strength by measuring the pre-scission neutron multiplicity,it is best to choose a system with a small size. Using a dynamical Langevin equation coupled with a statistical decay model, we calculate the excess of the pre-scission neutron multiplicities over its standard statistical-model values ​​as a function of the nuclear dissipation strength for the three nuclei 190Os, 200Hg, and 210Po which have the same neutron-to-proton ratio N / Z.We find that by decreasing the size of the fissioning nuclei, the effects of nuclear dissipation on the excess of the pre-scission neutron multiplicity are substantially amplified, and that the sensitivity of this excess to the nuclear friction strength is considerably increased as well. We suggest that for those fissioning systems with the same N / Z that are populated in fusion reactions, to obtain a more accurate information of the nuclear dissipation strength by measuring the pre-scission neutron multiplicity , it is best to choose a system with a small size.