In this letter, we show that: 1) if the Krasovskii regularization of a hybrid system H has complete and discrete solutions, then H has solutions with arbitrarily small separation between jumps under the influence of admissible state perturbations; 2) if H is nominally well-posed and does not have complete discrete solutions, then it does not have solutions with vanishing time between jumps (such as Zeno solutions); 3) if, in addition, there exists a compact set A such that all maximal solutions to H from A are complete, discrete and remain in A, then all solutions converging to A have vanishing time between jumps. The results in this letter demonstrate that a good practice to avoid solutions with arbitrarily fast sampling in Event-Triggered Control (ETC) is to ensure that the closed-loop system is nominally well-posed and that it does not have complete discrete solutions.