Here's the thing. Why in the world would Putin allow us insight into this "private," conversation? He certainly always has a purpose. Maybe, just maybe, he's backed himself into a corner now knowing who would jump in the action should Russia invade Ukraine and it doesn't look good for them.
So, what is he really after at this point? Their economy is struggling partially because of what we did under Trump's policies although Biden has now given them breathing room such as limiting sanctions including with their pipeline. But I think Putin is going to try and get everything he can for "not invading," Ukraine. That's a bully.
I don't think we should give in to any requests Putin makes because it will just embolden him to use his power again when his economy needs it. Just call his bluff and let them put their military equipment into reverse because that's where I think they'll be heading.