  We calculate the effects of an asymmetric $^{56}\mathrm{Ni}$ distribution in
Type Ia supernova (SN Ia) ejecta on the gamma-ray escape timescale ($t_0$) that
characterizes the late light curve ($>40$ days after peak) and find the effect
is modest compared to other possible variations in ejecta structure. We
parameterize asymmetry in the $^{56}\mathrm{Ni}$ distribution and calculate
$t_0$ for a grid of SN ejecta models spanning a large volume of the asymmetry
parameter space. The models have spherical density profiles while the
$^{56}\mathrm{Ni}$ distribution in them has various levels of asymmetry. By
placing constraints based on the observational measurement of $t_0$ and other
general properties of SN Ia ejecta, we find the range of allowed asymmetry in
the $^{56}\mathrm{Ni}$ distribution. Considering these constraints we find that
some level of asymmetry in the distribution is not ruled out. However, models
with a single ejecta mass and varying $^{56}\mathrm{Ni}$ distributions cannot
explain the full range of observed $t_0$ values. This strengthens the claim
that both Chandrasekhar mass and sub-Chandrasekhar mass explosions are required
to explain the diversity of SN Ia observations.
