  The tadpole conjecture by Bena, Blaback, Grana and Lust effectively states
that for string-theory compactifications with a large number of
complex-structure moduli, not all of these moduli can be stabilized by fluxes.
In this note we study this conjecture in the large complex-structure regime
using statistical data obtained by Demirtas, Long, McAllister and Stillman for
the Kreuzer-Skarke list. We estimate a lower bound on the flux number in type
IIB Calabi-Yau orientifold compactifications at large complex-structure and for
large $h^{2,1}$, and our results support the tadpole conjecture in this regime.
