Cook, 18, has been a superb performer for Leeds this season but, naturally for one so young, there are still plenty of imperfections to his game.
Discussing Cook's performance against Nottingham Forest on Saturday evening with Eddie Gray, Redfearn admitted the youngster can do better in the final third as he has a goal in him but often makes the wrong decision when on the front foot.
The Leeds boss and Gray referred to a specific moment in the Forest clash when Cook could have taken on a defender but shied away from the opportunity.
"I definitely think that there's another side to Lewis that we've perhaps not seen yet. A side that I saw when he was in the Under-21s," Redfearn said.
"He's got a goal in him and an end product. But, when players get into those positions, they're expected to create and score."
Understandably, though, the 49-year-old was pleased with how his side defended during the 0-0 draw with Nottingham Forest.
Michail Antonio, Chris Burke and Henri Lansbury provided quite a threat at Elland Road and Redfearn was delighted with how Leeds were able to handle that threat.
Redfearn said: "Antonio is a handful. They were making sure they tried to isolate him. I thought we did well against him to be fair, I thought Scott Wootton stuck at it and I thought Berardi did well with Burke.
"They’re two game-changes are the two wingers and then Lansbury arriving from deep but I thought we countered it quite well."