The Tigers had been targeting Wigan Athletic’s Arouna Kone, though he has expressed a desire to join up with former manager Roberto Martinez at Everton.
They had a bid of £4.5m rejected last earlier this month, with the Scottish champions holding out for a fee closer to £8m, though with the former Scunthorpe United man having just a year left on his contract they may have to settle for less.
The 25 year old moved to Celtic Park back in 2010, and has scored sixty-three goals in ninety-five league appearances.
He also scored four goals in last season’s Champions League campaign, and hit a brace in last month’s Scottish Cup final victory over Hibernian.
Meanwhile, Hull have completed the signing of defender Curtis Davies, who has joined on a three year contract from Birmingham City for an undisclosed fee.