The Whites are set to claim a mid-table spot this time around, but Cook wants his side to kick on next term.
The 18-year-old believes that there is enough potential in their squad to put them in promotion contention, and he is looking forward to helping the Whites move forward in the future.
"We know we can do better, I think we are capable of getting up there and especially next season we can try and kick on," he said.
"We’re all comfortable around Redders [Neil Redfearn] and we’ve got a lot of people coming through."
Cook's comments should encourage Leeds supporters, as he seemingly thinks his immediate future is best served at Elland Road.
Rumours in the Daily Star have suggested that Cook could depart this summer, with interest in his services picking up, but it seems that the player has had no such thoughts.
At the moment he appears to be happy to be helping Leeds, where he is a prominent member of the club's starting line-up, and he will be hoping to continue progressing next term.
Leeds will realise that to keep hold of Cook they are going to have to be a Premier League team soon, though, as a player of his talent cannot stay hidden forever.