We combine available constraints on the local [CII] 158 µm line luminosity function from galaxy observations (Hemmati et al. 2017), with the evolution of the star-formation rate density and the recent [CII] intensity mapping measurement in Pullen et al. (2018, assuming detection), to derive the evolution of the [CII] luminosity -halo mass relation over z ∼ 0 − 6. We develop convenient fitting forms for the evolution of the [CII] luminosity -halo mass relation, and forecast constraints on the [CII] intensity mapping power spectrum and its associated uncertainty across redshifts. We predict the sensitivities to detect the power spectrum for upcoming PIXIE-, STARFIRE-, EXCLAIM-, CONCERTO-, TIME-and CCAT-p-like surveys, as well as possible future intensity mapping observations with the ALMA facility.