Generally, it is always a good idea to talk to the new teacher beforehand and ask. She will probably want to know who you have taken with and for how long. A respectful way of doing things is to drop “down” a level. Often, the change to new way of breaking down technique, a new teaching style, a new voice, a new room, a new body to observe, and new content, will be more than enough of a challenge. You can always change later, or take more than one class.