I am not sure whether you would be able to do it at the same time.
But if it does not happen as you expected, try the following idea.
Assuming you will have enough time to bring your supply voltage back to 3.3V before the super cap goes below 2.0V, this circuit, at least the idea, will be good enough to overcome your issue.
Depending on the time your V+ comes back to 3.3.V, you may not need a super cap.
May be, just a regular 10,000uF / 10v will be good enough.
<img src="http://www.picbasic.co.uk/forum/attachment.php?attachmentid=2127&stc=1&d=119468661 8">
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