We show how the linear "low-density theorem" of Drukarev and Levin can be extended to arbitrary positive integer power of the baryon density ρ. The n^th coefficient in the McLaurin expansion of the fermion condensate's ρ dependence is the connected n-nucleon sigma term matrix element. We calculate the O(ρ^2) coefficient in lowest-order perturbative approximation to the linear sigma model and then show how this and other terms can be iterated to arbitrarily high order. Convergence radius of the result is discussed.