While Barnes wouldn't sell any of the trio, the Reds legend thinks it would be a good idea to sign another forward and has identified Dembele as the ideal fit.
"He would fit right into the front three because his directness is perfect for Liverpool's way of playing.
"Of all the players linked with Liverpool, he is a player that fans should be excited about. If he wants to continue playing at the biggest clubs like Barcelona then Liverpool is the right club for him.
"I can't see a reason for any of the front three to leave because they like it at Liverpool and things are going well.
"I don't think there's a reason any of the front three need to feel they have to leave to fulfil their ambitions because they've won the league and the Champions League so it's hard to say what more they want.
"In terms of the potential to be successful, they won't get it much better anywhere else, it's just a question of whether they feel they want a new challenge.
"Some of them are coming up to 28/29 and sometimes players move on."