The attacker has been in fine form this season.
The Scot will however need to make some signings before he tries to take the club further up the Championship table and toward the Premier League promised land.
It was reported earlier in the week by Shoot Magazine that both Forest and Sheffield Wednesday were keen on the 19-year-old.
Now however, it has been made clear that no approach has been made for the player.
The report claims Carlisle have no desire to sell the player, who only signed a contract extension at the club recently.
Any deal for Dempsey from Forest would have been a loan, with a view to a permanent deal, because of the transfer embargo.
Meanwhile, Sheffield Wednesday were ready to make a concrete bid.
For now, it seems as though no approach has been made from either party.