  We interpret the de Sitter swampland conjecture in the thermodynamic point of
view. When the number of degrees of freedom is enhanced as the modulus rolls
down the potential, the bound on $m_{\rm Pl} \nabla V/V$ is equivalent to the
condition for the positive temperature phase. The boundary between the
positive- and the negative temperature phases is preferred by the classical
system since the entropy density is maximized. The distance conjecture imposes
that (quasi-)de Sitter spacetime is entirely in the negative temperature phase
and statistically disfavored. By investigating the concave potential, we also
justify the bound on $m_{\rm Pl}^2 \nabla^2 V/V$.
