Can there be quantum correlations in a mixture of two separable states?

We use a recently proposed measure of quantum correlations (work deficit) to measure the strength of the non-locality of an equal mixture of two bipartite orthogonal but locally indistinguishable separable states. This gives supporting evidence for a non-zero value of a separable state for this measure of non-locality. We show that a different order imposed on two states by the work deficit and any entanglement measure cannot be explained by mixedness alone.