  We show that the expression for the supersymmetric partition function of the
chiral Unitary Ensemble conjectured recently by Splittorff and Verbaarschot
[Phys. Rev. Lett. v. 90, 041601 (2003)] follows from the general expression
derived recently by Fyodorov and Strahov [ J. Phys. A: Math.Gen.} {\bf
36}(2003) 3203] .
