In this paper, we consider two dimensional viscous flow around a small obstacle. In ^[4], the authors proved that the solutions of the Navier-Stokes system around a small obstacle of size $\epsilon$ converge to solutions of the Euler system in the whole space under the condition that the size of the obstacle $\epsilon$ is smaller than a suitable constant $K$ times the kinematic viscosity $\nu$. We show that, if the Euler flow is antisymmetric, then this smallness condition can be removed.