It is generally assumed that the dynamical generation of the Higgs mass parameter of the superpotential, ω, implies the existence of a light singlet at or below the supersymmetry breaking scale, M SUSY. We present a counter-example in which the sunglet field can receive an arbitrarily heavy mass (e.g., of the order of the Planck scale, M P ≈ 10 19 GeV). In this example, a non-zero value of ω is generated through soft supersymmetry breaking parameters and is thus naturally of the order of M SUSY.