We derive the rate of decay of the tail dependence of the bivariate skew normal distribution under the equal-skewness condition θ1 = θ2,= θ, say. The rate of convergence depends on whether θ > 0 or θ < 0. The latter case gives rate asymp- totically identical with the case θ = 0. The asymptotic behaviour of the quantile function for the univariate skew normal is part of the theoretical development.