  We estimate the impact of the Dipole Straylight Contamination (DSC) for the
{\it Planck} satellite on the alignments of vectors associated to the low
multipoles of the pattern of the cosmic microwave background (CMB)
anisotropies. In particular we study how the probability distributions of
eighteen estimators for the alignments change when DSC is taken into account.
We find that possible residual DSC should leave a non-negligible impact on low
multipole alignments for effective values of the fractional far sidelobe
integrated response, $p$, larger than $\sim {\rm few} \times 10^{-3}$. The
effect is strongly dependent on the intrinsic sky amplitude and weakly
dependent on the considered scanning strategy. We find a decrease of the
alignment probability between the quadrupole and the dipole and an increase of
the alignment probability between the hexadecapole and the dipole (larger is
the intrinsic sky amplitude and lower is the contamination). The remaining
estimators do not exhibit clear signatures, except, in some cases, considering
the largest values of $p$ and the lowest sky amplitudes. Provided that the real
sidelobes of the {\it Planck} receivers in flight conditions will correspond to
$p \lsim {\rm few} \times 10^{-3}$, as realistically expected at least in the
cosmological frequency channels, and will be known with accuracies better than
$\sim {\rm few} \times 10$% allowing for a suitable cleaning during data
reduction, {\it Planck} will be very weakly affected from DSC on the alignments
of low multipoles.
