There is no dependent visa per se. If your spouse already has a closed work permit you can get an open work permit or you can apply for visitor status and TRV. Instead of the traditional 6 month stay the company lawyer or you can ask for the visitor expiry date to match the work permit expiry date. If you want to work or volunteer you will need an OWP which some people refer to as SOWP.
It will take a few months so as long as your wife has her visa you can apply for yours (or at the same time).