Let M(2,w̲,χ) be the moduli space of rank 2 torsion-free sheaves of fixed determinant and odd Euler characteristic over a reducible nodal curve with each irreducible component having utmost two nodal singularities. We show that in each irreducible component of M(2,w̲,χ), the closure of rank 2 vector bundles is rational. © 2018 Elsevier B.V.