Yuuki Konno's House

My wife and I recently read through Mother's Rosaio LN and both had the same thought, could Kirito and Asuna somehow manage to buy Yuuki's old house before it gets sold off? Not that much time has passed since Mothers Rosario I don't think. It sure would be meaningful.

(Note I'm only at UR 3 in the LN's, spoilers wise)