  For any topological group $G$ the dual object $\hat G$ is defined as the set
of equivalence classes of irreducible unitary representations of $G$ equipped
with the Fell topology. If $G$ is compact, $\hat G$ is discrete. In an earlier
paper we proved that $\hat G$ is discrete for every metrizable precompact
group, i.e. a dense subgroup of a compact metrizable group. We generalize this
result to the case when $G$ is an almost metrizable precompact group.
