  The effect of spin-0 goldstino superpartners is considered on the
nucleosynthesis bounds arising when a superlight gravitino appears as an
effective massless neutrino species. When the scalar and pseudoscalar
superpartners are relativistic they will decouple at much later times than the
goldstino and consequently will be the dominant effect when obtaining a
nucleosynthesis bound on the scale of supersymmetry breaking. Assuming that the
scalar and pseudoscalar fields decouple at a temperature no later than O(100)
MeV, then typically the scale of supersymmetry breaking \sqrt{F} > 60 TeV. This
corresponds to a lower bound on the gravitino mass m_{3/2} > 1 eV.
