  We discuss the Swampland Distance Conjecture in the framework of black hole
thermodynamics. In particular, we consider black holes in de Sitter space and
we show that the Swampland Distance Conjecture is a consequence of the fact
that apparent horizons are always inside cosmic event horizons whenever they
exist in the case of fast-roll inflation. In addition, we show that the
Bekenstein and the Hubble entropy bounds for the entropy in a region of
spacetime lead similarly to the same conjecture.
