  We argue that fast interactions of the lightest singlet neutrino $N_1$ would
project part of a preexisting lepton asymmetry $L_p$ onto a direction that is
protected from $N_1$ washout effects, thus preventing it from being erased. In
particular, we consider an asymmetry generated in $N_2$ decays, assuming that
$N_1$ interactions are fast enough to bring $N_1$ into full thermal
equilibrium. If $N_1$ decays occur at $T\gsim 10^9$ GeV, that is, before the
muon Yukawa interactions enter into thermal equilibrium, then generically part
of $L_p$ survives. In this case some of the constraints implied by the standard
$N_1$ leptogenesis scenario hold only if $L_p \approx 0$. For $T\lsim 10^9$
GeV, $L_p$ is generally erased, unless special alignment/orthogonality
conditions in flavor space are realized.
