  Sigma model in $AdS_3\times S^3$ background supported by both NS-NS and R-R
fluxes is one of the most distinguished integrable models. We study a class of
classical string solutions for $N$-spike strings moving in $AdS_3 \times S^1$
with angular momentum $J$ in $S^1 \subset S^5$ in the presence of mixed flux.
We observe that the addition of angular momentum $J$ or winding number $m$
results in the spikes getting rounded off and not end in cusp. The presence of
flux shows no alteration to the rounding-off nature of the spikes. We also
consider the large $N$-limit of $N$-spike string in $AdS_3 \times S^1$ in the
presence of flux and show that the so-called Energy-Spin dispersion relation is
analogous to the solution we get for the periodic-spike in $AdS_3-pp-$wave
$\times S^1$ background with flux.
