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The ANTARES and IceCube neutrino telescopes have independently searched for neutrinos from dark matter pair-annihilation in the Galactic Centre, and placed limits on the velocity-averaged WIMP annihilation crosssection 〈σν〉. To date, the most stringent limits were obtained by the ANTARES neutrino telescope for WIMP masses > 100 GeV/c2, closely followed by the limits of the IceCube experiment for WIMP masses up to 1 TeV/c2. Here we present the sensitivities of a combined search for dark matter in the Galactic Centre using data from both experiments in a WIMP mass range from 100 GeV/c2 to 1 TeV/c2. This analysis includes IceCube data collected with the complete 86-strings detector from 2012 to 2015 and ANTARES data from 2007 to 2015. The two data sets were combined using a common likelihood framework, and before unblinding the combined sensitivities to 〈σν〉 are shown.