Besic arrived at Goodison Park from Ferencvaros last summer, following an eye-catching World Cup campaign for Bosnia and Herzegovina.
"Mo has adapted very well," Jones told evertonfc.com. "He's an intelligent boy and technically he is very, very capable. We knew early on that we had signed a top character in Mo. We did our work. He has been brought up in Germany and a lot of his behaviour reflects that.
"Sometimes in your first season you accumulate so much information and experience that you only really manage to use it in your second season when you have digested and reflected what has happened. I expect Mo to make a bigger impact next season.
"We have been very pleased with him but Muhamed, like everybody else, need to improve and kick-on next season. That's something you look forward to as a coach - looking at the areas where improvement has been made."
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