Adobe has demoed software for this (interestingly, Jordan Peele also in this video):
https://www.youtube.com/watch?v=lOpSV3ZcUcw
Whether the demo is accurate or massaged, I can't say as I've never used the software myself. But if it is anywhere near as good as their demo suggests, it produces output that is more natural than the current deepfakes video outputs (though it also isn't perfect).