Cook left Leeds for Bournemouth earlier this month.
Leeds United’s Lewis Cook in action against current Whites striker Chris Wood, then of Ipswich Town
Leeds United chief executive Ben Mansford has suggested to BBC West Yorkshire Sport that Lewis Cook could return to Elland Road.
Cook was sold to Bournemouth earlier this month in a deal which Mansford insisted "involved a considerable fee and a fee that is on parity with what somebody of Lewis’s quality should go for."
However, the 19-year-old was reluctant to leave Elland Road, according to Mansford, who added: "If we could have said to Lewis that, absolutely, in 12 or 24 months time Leeds United will be in the Premier League I don’t think he would have rushed to leave."
Mansford, who was recruited from Yorkshire rivals Barnsley earlier this summer, went on to praise both Cook and his representatives for failing to take advantage of the midfielder's unfavourable contract situation, ensuring Leeds received "fair recompense" and that he felt he could leave on positive terms.
Cook scoring against Fulham earlier this year
In fact, the split was so amicable that Mansford hinted Cook would look to return to his boyhood club were they ever to grace England's top flight once more.
He added: "I think also Lewis looked to see if there was a mechanism whereby his agents could get him back to Leeds at a certain level, if we ever got back to the Premier League."
Leeds completed all six of their summer signings prior to Cook's exit, prompting speculation that the club were using the money to bankroll those deals.
Leeds paid a reported £3 million to land Roofe
However, Mansford insisted the transfer proceeds would be put toward further investment in Garry Monk's squad.
Asked how the money would be spent, he replied: "Sensibly. I think the business we’ve done, the six signings in, is excellent.
"That has taken about a good investment, and I think the rest of the window is going to see us making other purchases and loan signings and adding to the quality of group - as well as maybe taking a view to keeping hold of some of the others."
However, he added that, at this moment in time, player of the year Taylor does not wish to renew his deal.
Charlie Taylor looks set to follow Cook out of Elland Road