We report on radio continuum observations of the host galaxy of the short gamma-ray burst 071227 ( z =0.381 ) with the Australia Telescope Compact Array ( ATCA ) . We detect the galaxy in the 5.5 GHz band with an integrated flux density of F _ { \nu } = 43 \pm 11 ~ { } \mu Jy , corresponding to an unobscured star-formation rate ( SFR ) of about 24 M _ { \odot } /yr , forty times higher than what was found from optical emission lines . Among the \sim 30 well-identified and studied host galaxies of short bursts this is the third case where the host is found to undergo an episode of intense star formation . This suggests that a fraction of all short-burst progenitors hosted in star-forming galaxies could be physically related to recent star formation activity , implying a relatively short merger time scale .