The dwarf spheroidal (dSph) galaxies are though to be the most dark matter dominated objects known. Leo IV and Leo V are two ultra-faint dwarf spheroidal galaxies recently found around the Milky Way. Their distances to the Milky Way are 154kpc and 175kpc respectively. The rather short difference in radial distance and the fact that they also have a small projected distance on the sky led to the idea that we might see a new pair of gravitationally bound galaxies - like the Magellanic Clouds. Our results show that the minimum total dark matter mass required for the pair to be bound has to be between 1.6 × 1010M and 5.4 × 1010M (within the virial radius). Computing the mass of dark matter within the standard optical radius of 300pc shows that our models are within the predicted range of dark matter content for satellites so faint. We therefore conclude that it could be possible that the two galaxies constitute a bound pair.