We extend the notion of {\it{microscopic sets}} introduced for
subsets of the real line, to the case of subsets of a Banach space
$X.$ Then we introduce the {\it{Microscopic Drop Property}} for
closed and convex subsets of $X,$ and we eventually show that,
when $X$ is reflexive, it is equivalent to the usual Drop Property
defined by D.N. Kutzarova.