  Here we consider the possibility of measuring at 10% or better the moment of
inertia I of the J0737-3039A via the gravitomagnetic spin-orbit periastron
precession. It turns out that the prospect of measuring the moment of inertia
of PSR J0737-3039A at 10% accuracy or better seems unlikely given the
limitations to the precision with which the system's basic binary and
post-Keplerian parameters can be measured via radio timing.
