Aluko is out of contract at the end of this season and Hull boss Steve Bruce is keen to tie him down to a new long-term contract, Sky Sports understands.
The 24-year-old has been one of Hull's shining lights in the first season back in the Premier League and has been instrumental in helping the Tigers pick up 10 points from their opening six games.
A number of clubs are thought to be monitoring Aluko's contract situation, but Hull are determined to secure his future on a new deal.
Aluko's representative, Liam O'Donnell of Pro-Legal Sports Management, confirmed talks are ongoing between all parties and hopes that a resolution will soon be found.
"Talks are ongoing about a new deal for Sone," O'Donnell told Sky Sports.
"We are hopeful of an agreement soon as there is a willingness from all parties to get a successful resolution."