But it may actually be the other way round, i.e. Britain following the negotiations between the EU and Switzerland on that point: On 6 April 2017, Doris Leuthard, President of the Swiss Confederation, and Jean-Claude Juncker, President of the European Commission, announced that "all so-called blocked elements" in the negotiations between the EU and Switzerland have been unblocked, including the talks regarding an institutional framework agreement which are planned to continue by the end of the year.
Why this sudden activism? It may simply be a natural consequence of Switzerland's EU-compliant implementation of the mass immigration initiative last December. But it could also be Brexit negotiation tactics of the EU, as it could use the negotiations with Switzerland to send indirect messages to London, which is not an entirely pleasant outlook from a Swiss perspective. It raises the question whether Switzerland should be patient in that specific context, defer to Britain and say "Britain first".