Deulofeu has become a first-team regular at Goodison Park, and he is already playing a crucial role for the Toffes.
However, he still has a lot of time to improve, considering he is still only 21-years-old, and Barry believes that the winger has a very bright future.
"You forget how young he is because his name has been around for a bit and he's had a spell here already," the former England international said.
"But like a lot of young players in the dressing room, they are still learning and will make mistakes and that will frustrate the fans sometimes but, ultimately, if they keep improving they are going to have a good career."
Deulofeu moved permanently to Everton this season from Barcelona, and there are very high hopes for his future on Merseyside.
At first, he took a while to break into the team, but his excellent form over recent weeks has ensured that he has stayed in Roberto Martinez’s starting line-up.
Deulofeu scored in his last match against Sunderland, which Everton won 6-2, and that was his first goal in the Premier League this season.
The Spanish winger will be hoping to build on that performance now, as Everton look to move up from their current position of ninth in the standings.