We introduce the notion of adjacency in three-manifolds. A three-manifold Y is n-adjacent to another three-manifold Z if there exists an n-component link in Y and surgery slopes for that link such that performing Dehn surgery along any nonempty sublink yields Z. We characterize adjacencies from three-manifolds to the three-sphere, providing an analogy to Askitas and Kalfagianni’s results on n-adjacency in knots.