Subscription Cancellation (auto pay)

Is there a way to turn off the subscription auto-pay without killing my current subscription? I want to avoid having a bill sneak up on me when my current sub expires...
I dont actually want to unsubscribe, but I want approval prior to any billing- preferrable no auto bill at all. 

I am curious to know about this as well. I'm looking at "My subscriptions" and I see "Cancel Subscription" under Payments History.
If clicking that keeps on my current subscription's expiration date but stops future billing, then that's great! And if indeed that is how it functions, it should probably say, "Cancel rebill" or present a note that canceling future subscription does not cancel the one you have already paid for.

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