The 2015/16 Championship Young Player of the Year has been linked with a potential summer move to the Premier League but Evans is of the belief that the 19-year-old midfielder will stay true to the Whites and find his way to the to flight with the Elland Road outfit.
"I thought he was absolutely stunning in the second half," said Evans the wake of Tuesday night's 2-1 win over Wolves.
"It was as good a midfield performance as you could wish to see.
"This is the club that this boy grew up in love with and it can't get any better for him.
"I love working every day with somebody as talented as him. I'm very blessed as a head coach to be able to turn up at Thorp Arch and see Lewis Cook in the building.
"I know what it means to him playing here. This is the most gracious young man you could wish to meet - he gets player of the year and he's in my office almost in tears thanking me for the improvement we've given him in six months.
"He's grown up supporting a special club. If people were sitting tomorrow to pick teams to be in the Premier League - which doesn't happen because you earn it on the pitch - but if they did Leeds would be the fourth or fifth pick."