Bournemouth technical director Simon Francis says they could “end up being a victim of our own success” this summer with clubs wanting their players.
The Cherries are eighth in the Premier League and have had some star performers this season, including defender Dean Huijsen.
“There will be bigger teams circling around and looking at some of our players,” Francis told BBC Radio Solent.
“There will be some situations we can’t control but there will be others that we can.
“I’m confident that if we finish well this season and that could mean European football, then the players will be excited about that. It would be historic.
“But there will also be some players that want to go and play for some of the biggest teams in the world and sometimes you can’t stand in their way.”
Spain international Huijsen, 20, is the subject of genuine interest from Chelsea, Liverpool, Arsenal and Newcastle.
The defender, a summer signing from Juventus, is thought to have a £50m release clause.
Francis added: “It will be a conversation for the summer. Of course, if you ask me then I think the best place for him over the next two and three years is here at Bournemouth. Play every single game, potentially in Europe and then take your pick of the clubs.”
