The Whites have made Hunt available for loan ahead of Thursday's deadline and Ipswich are now the favourites to do a deal for the Republic of Ireland international.
Hunt has struggled for form since arriving at Elland Road in 2013. He still has not scored for the club, in any competition, and he is well down the pecking order, as a result.
The 31-year-old has not made an appearance under current boss Neil Redfearn and has spent most of his time playing for the side's development side.
Hunt was last seen in the first-team in August, but he failed to do enough to maintain a starting role.
His record at under-21 level has actually been quite impressive and he captained the side in their last fixture.
It seems that a loan move may be best for both parties and Hunt is likely to receive a warm welcome at Ipswich.
The Tractor Boys already have his brother, Stephen, in their ranks and it looks like a family reunion could be on the cards.
Ipswich are currently in fourth position in the Championship, so Hunt would be leaving a possible relegation battle for a promotion push if he does leave Yorkshire.
If Hunt does leave, he will join Nicky Ajose in departing Elland Road, with the former Manchester United striker set to join Crewe Alexandra on a temporary move in the near future.