Suarez was named the PFA Players' Player of the Year after netting 31 goals for the Merseysiders last season, a feat which also earned him the European Golden Shoe and a big-money move to Barca.
Neymar feels Liverpool have missed Suarez's creative spark, but he backs the ever-improving Coutinho to become similarly destructive - a sentiment shared by Reds manager Brendan Rodgers.
"We have been good friends since we were 16. Not only is he a fantastic player, he is a good guy to have in the dressing room, always positive and making jokes," Neymar is quoted as saying by the Daily Mirror.
"I think, since Luis joined us at Barcelona, Liverpool have not had that one player they can look to for that special moment.
"Couto can be that player for them, I'm sure. When he has the ball at his feet, he can make things happen for himself and he can make things happen for other players. He is a very special player."
Neymar also expects the 22-year-old to make his mark for Brazil after being overlooked for the 2014 World Cup.
"The national steam is very strong but, the way he is playing for Liverpool, I'm sure he will be a big part of Brazil going forward."