  We rewrite the N=(2,2) non-linear sigma model using auxiliary spinorial
superfields defining the model on ${\cal T}\oplus^ *{\cal T}$, where ${\cal T}$
is the tangent bundle of the target space. This is motivated by possible
connections to Hitchin's generalized complex structures. We find the general
form of the second supersymmetry compatible with that of the original model.
