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For the universal isomonodromic deformation of an irreducible logarithmicrank two connection over a smooth complex projective curve of genus at leasttwo, consider the family of holomorphic vector bundles over curves underlyingthis universal deformation. In a previous work we proved that the vector bundlecorresponding to a general parameter of this family is stable. Here we provethat the vector bundle corresponding to a general parameter is in fact verystable (it does not admit any nonzero nilpotent Higgs field).

Isomonodromic deformations and very stable vector bundles of rank two