Barca is said to be very interested in the Uruguayan star, who is banned from all football-related activity for four months after biting Giorginio Chiellini during their World Cup clash with Italy.
And Deulofeu, who returned to Catalonia this summer after a season on loan at Everton, has expressed his excitement at the prospect of playing with Suarez to the Camp Nou.
"He [Suarez] is a very interesting player," he told Mundo Deportivo. "For me, he’s one of the best strikers in the world and if he comes he would be a great signing.
Deulofeu is confident that his time at Everton has put him in a good position to make a mark with Luis Enrique’s side.
"I really want to start the season, for everything to go well and to win everything with Barca.
"I worked hard at Everton, I learned many things and I was lucky enough to achieve my goal of returning home.
"I learned personally and in football. Until you’re away, and you have no family, the food, the weather, you don’t know what you have and you learn to value things.
"Just getting in the team will make me happy. Collectively the requirement of the club is to win titles.
"I like a little pressure. That’s how football goes. I think that without pressure we can’t be the best."