  It is shown in this paper that given any closed oriented hyperbolic
3-manifold, every closed oriented 3-manifold is mapped onto by a finite cover
of that manifold via a map of degree 1, or in other words, virtually
1-dominated by that manifold. This improves a known result of virtual
2-domination. The proof invokes a recently developed enhanced version of the
connection principle in good pants constructions.
