There are a couple of relevant press releases from the Swiss gov. today.
The first details the plan to further facilitate entry into Switzerland from June 28th. The link is here:
https://www.admin.ch/gov/it/pagina-iniziale/documentazione/comunicati-stampa.msg-id-83938.html
Relevant to us as US tourists:
As part of a development of the Schengen acquis, the EU now intends to
repeal the entry restrictions still in force in the Schengen area for
third-country nationals with a vaccination certificate. As a Schengen
associated state, Switzerland has coordinated its travel restrictions
with the EU as far as possible since the start of the pandemic. In
turn, Switzerland plans to ease entry restrictions still in force for
third-country nationals with a vaccination certificate from 28 June
2021. There are currently no travel restrictions between Schengen states. Furthermore, people benefiting from free movement enjoy this right regardless of the state they come from when they enter Switzerland.
The second details the plans for the further easing of restrictions, things like capacity limits and the wearing of masks. The link is here:
https://www.admin.ch/gov/it/pagina-iniziale/documentazione/comunicati-stampa.msg-id-83951.html
All of these proposed measures will be voted on June 23rd. I'm keeping my fingers crossed. π