We propose a Dirac neutrino portal dark matter scenario by minimally extending the particle content of the Standard Model with three right-handed neutrinos , a Dirac fermion dark matter candidate (ψ) and a complex scalar (φ), all of which are singlets under the SM gauge group. An additional symmetry has been introduced for the stability of dark matter candidate ψ and also ensuring the Dirac nature of light neutrinos at the same time. In this scenario, we can have thermal or non-thermal dark matter depending upon couplings involving these particles. Most importantly, one can easily correlate the cosmological evolution of dark matter with the dynamics of right-handed neutrinos. This leads to a strong constraint on dark matter parameter space from the measurement of the effective number of relativistic degrees of freedom by Planck. The next generation experiments like CMB-S4, SPT-3G etc. will have the required sensitivities to probe a major portion of the entire model parameter space, offering a promising way of probing such light dark matter, where the traditional direct detection experiments are still not sensitive enough.