Cook was named as the Football League’s Young Player of the Year earlier this week, after enjoying a stellar season for the Yorkshire club this term.
However, Cook’s anger has been visible on occasion at Elland Road this season, and Evans does not feel that he always channels his aggression in the correct manner.
The 53-year-old boss believes that Cook needs to start directing his frustrations to make his performances more positive in the future, but he has predicted that the central midfielder can go on to have a very bright career at the top level.
“It’s a fantastic achievement and I said when I walked in the door I’m very fortunate to work with Lewis,” Evans said.
“He follows the achievement of a boy who won it last year who is now an absolute star in the Premier League [Dele Alli] - and Lewis Cook will attain that level and play at that level.
“He just has to stop being frustrated as much as he gets at times, and channel that into being even better.”
Cook is still only 19-years-old, but he is already an integral player for Leeds, such is his ability.
Leeds are likely to face a tough task keeping hold of Cook over the summer, as Premier League clubs have already been linked with the youngster.
Bournemouth are said to have a keen interest in signing Cook (Daily Mail), and it remains to be seen whether the Whites will have the resolve to fend off bids from higher placed clubs.