In this paper, we explore an extension of the classical non-standard cosmological scenario in which the new field, q5, which interacts with the radiation component in the early universe, experiences dissipative processes in the form of a bulk viscosity. Assuming an interaction term given by Gamma phi p phi, where Gamma phi accounts for the decay rate of the field and p phi corresponds to its energy density, and a bulk viscosity according to the expression xi = xi 0 p 1 / 2 phi in the framework of Eckart's theory, we apply this novel non-standard cosmology to study the parameters space for WIMPs Dark Matter candidate production. This parameter space shows deviations from the classical non-standard cosmological scenario, obtaining new regions to search for this candidate. In particular, for certain combinations of the free parameters, we found large regions in which the model can establish the DM and reproduce the current observable relic density.