  We obtain the super-Landau-Ginzburg mirror of the A-twisted topological sigma
model on a twistor superspace -- the quadric in CP^{3|3} x CP^{3|3} which is a
Calabi-Yau supermanifold. We show that the B-model mirror has a geometric
interpretation. In a particular limit for one of the Kaehler parameters of the
quadric, we show that the mirror can be interpreted as the twistor superspace
CP^{3|4}. This agrees with the recent conjecture of Neitzke and Vafa proposing
a mirror equivalence between the two twistor superspaces.
