[en] Highlights: • Diffusion of polymers can be influenced by soft nanoparticles. • Such influences are found temperature dependent. • Polymers are accelerated at high temperature while decelerated at low temperature. • The source can be attributed to the deformability of nanoparticle surface. • Nanoparticle surface deformability decreases rapidly when temperature decreases. It is well known that the presence of nanoparticles in polymer melt can dramatically influence the dynamics of the polymers. Here from a molecular dynamics simulation study, we find that such influences can be largely temperature dependent in a polymer/single chain nanoparticle composite. At high temperature, the translational diffusion of polymers can be accelerated due to large deformability of nanoparticle surface. While when temperature decreases, nanoparticle surface deformability decreases dramatically and therefore nanoparticles can impose large excess free energy barrier on polymer diffusion. As a consequence, the diffusion of polymers at low temperature can be largely decelerated.