  Reverse H\"{o}lder inequalities for a class of functions on a probability
space constitute an important tool in Analysis in Probability. After revisiting
how a (modified) log-Sobolev inequality can be used to derive reverse
H\"{o}lder inequalities for the class of log-Lipschitz functions, we obtain a
weaker condition using general Transport-Entropy inequalities, which can also
handle approximately log-Lipschitz functions. In its weakest form, the
condition degenerates to the assumption of satisfying a concentration
inequality. We compare this with a scenario in which the underlying space only
satisfies a Poincar\'e inequality.
