But don't leave that to chance, especially if you live in a canton where liability insurance is mandatory. Also check that you are insured for the appropriate sum - some cantons require 1 mio, some 3 mio, etc. Be aware if you have a listed breed in a BSL canton there may be additional insurance requirements.
Your current insurer will be able to answer all your questions - and if it turn out that you need additional insurance your current insurer will likely give you a decent deal as you already have a policy with the company.