Fellow veteran player Jaromir Jagr had recently expressed the same concern to Jon Rosen of Fox Sports West, saying that time was running out for guys like him and Selanne.
Ottawa Senators captain Daniel Alfredsson could also be one of several casualties if a new CBA is not settled before the League chooses to cancel the entire 2012-13 season.
Selanne collected 26 goals and 40 assists for 66 points in all 82 contests with the Ducks last season.
Davis revealed the news via his Twitter account.