Having seen Charles Piutau and Colin Slade take offshore offers, the NZRU are nervous about Savea and World Player of the Year Brodie Retallick, who is also off contract.
Their anxiety is not just about losing them for next year when the All Blacks are already going to be without a host of senior players such as Daniel Carter, Ma'a Nonu, Conrad Smith and probably Richie McCaw. They are more concerned about whether there is an emerging trend of promising players leaving New Zealand younger.
Australia highlighted how concerned they are by that problem when they changed their selection rules this week to enable the Wallabies to pick overseas players who have 60 caps or more and spent at least seven seasons in Australia.
But Savea may have alleviated some of the fears by making it clear that playing for the All Blacks remains something to treasure.
"I'm in no rush. Of course that black jersey is huge. I remember when I first got announced in the team and I was ecstatic and I don't want to take it for granted.
"Hopefully I get the opportunity at the World Cup because it is a huge privilege and honour to wear that black jersey, as not many get the chance to put it on."