Hull have reiterated their determination not to sell winger Stephen Hunt, but striker Caleb Folan could well be leaving the club in January.
Hunt has reportedly been the subject of renewed interest from Wolves since manager Phil Brown insisted the player was not for sale last week.
Hull, who have confirmed an interest in Manchester City youngster Vladimir Weiss, are looking to offload a number of players to ease their financial problems but are adamant Hunt, a success since his move from Reading last summer, will not be one of them.
A club statement read: "The club is now becoming bored of continual speculation within the local media surrounding his future and would like to place on the record that the player is not for sale.
"The club will not be commenting any further on speculation in relation to this player. He is not for sale.''
Hunt, 28, has scored five goals for the struggling Tigers, including both strikes as Brown's side battled back from 2-0 down to draw at relegation rivals Bolton last month.
Chairman Adam Pearson has said the club are overspending by around £9 million on wages but efforts are being concentrated on moving on fringe players, not first-team regulars.
Defender Nathan Doyle, who has not featured in the Premier League since last March, on Wednesday became the first player to leave in the transfer window after agreeing a two-and-a-half-year deal with Barnsley.
Out-of-favour striker Daniel Cousin is close to finalising a loan move to QPR but the deal is on hold, with the Gabon captain in Angola for the African Nations Cup.
Folan, who also interested QPR before the deal fell through, is still looking to leave the club, according to his agent, Hayden Evans.
"Caleb hasn't put in a transfer request at Hull City and he has a contract which runs until the end of next season," Evans told the Hull Daily Mail. "Obviously Hull have made it clear that they want to move him out on loan, and Caleb wants to play football so is not being obstructive.
"He just wants to make sure that when he moves on he is fully recovered from his recent injury and fully fit and able to do a job for the team he joins. He also wants to ensure it is a move that is suitable for him.
"At present, Hull have not come to us with any other offers, but there are still two weeks left before the window closes so he could yet move on."