  We introduce stabilised property Gamma, a C*-algebraic variant of property
Gamma which is invariant under stable isomorphism. We then show that simple
separable nuclear C*-algebras with stabilised property Gamma and
$\mathrm{Cu}(A) \cong \mathrm{Cu}(A \otimes \mathcal{Z})$ absorb the Jiang-Su
algebra $\mathcal{Z}$ tensorially.
