Hull would consider letting record signing Jimmy Bullard join Celtic on loan if the Glasgow giants made an approach.
Bullard is thought to be one of a number of high-earning players the Tigers are keen to offload following their relegation from the Barclays Premier League.
Head of football operations Adam Pearson said in The Daily Express: "We are aware that Celtic have an interest in Jimmy Bullard. They haven't made a direct approach to me but I know officials from Celtic have spoken to a number of people on our coaching staff about Jimmy Bullard."
He added: "Everyone is aware of our financial predicament and we would have to consider all offers.
"If Celtic were to make an offer for Jimmy Bullard, whether it be a permanent transfer or a loan deal, then it is something we have to give serious consideration to."
Bullard has three years remaining on a contract reported to be worth £45,000 per week.
Hull finished in 19th in the Premier League with debts of £35million and are anxious to cut costs to avoid administration.
Bernard Mendy this week left the club by mutual consent while the remaining players are considering a request from the club to accept a deferment of part of their wages.
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