User blog comment:Mohrpheus/Spiritual Imbalance in Bleach - The End of the World?!/@comment-1774413-20100831012141/@comment-1268838-20100831014808

Like Godisme said, anything would be speculation, but we can be logical. Ideally, Ichigo's Shinigami form would age slowly, just like any other Shinigami. However, there's no way of knowing if that extends his life span as a Human as well. Or perhaps once his body dies, his soul will live on, since he no longer has a Chain of Fate anyway - only Pluses need Konso. So I doubt he'd lose his memories.