The 23-year-old has become a hot property in the last 12 months, helping Killie to a fifth-placed finish in the SPL.
His form has alerted a number of rival clubs including Derby County, Sunderland, Norwich and Rangers, with Hull ready to make an opening offer of £600,000 for Jones, who was linked with a move in January.
Hull are also one of several clubs keen on Scunthorpe’s Hakeeb Adelakun, with the 22-year-old out of contract and expected to leave the Iron, who would be due compensation due to his age.
Nottingham Forest and Blackburn Rovers are also keen, with Bristol City having already reportedly seeing a bid rebuffed.
Middlesbrough winger Marvin Johnson is a target for Championship rivals Hull City and Ipswich Town.
Johnson made a £3million switch from Oxford United to the Riverside last August but could move on this summer.
The 27-year-old is of interest to both Nigel Adkins and Paul Hurst, with a loan or permanent transfer on the cards.
Middlesbrough are set to make a £5m bid for Bristol City star defender Aden Flint.
Boro chief Tony Pulis is a big fan of the 6ft 6in goal-scoring centre-back, 28, who scored nine goals last season as Lee Johnson’s side finished 11th in the Championship and reached the EFL semi-finals.
The Robins are in a strong position with the player signing a new deal until 2021 last December and are unlikely to be tempted to be an offer in the region of £5m.
Huddersfield Town are closing in on an £11m deal for Club Brugge winger Anthony Limbombe, according to some national reports.
The Terriers are seeking to avoid another close call in the fight to survive relegation next season and the Belgium international is said to be part of the battle plan.
Limbombe, 23, helped the club in win the Belgian Pro League and has represented his country at every level, making his senior debut against Saudi Arabia in March.
An initial offer of £7m has reportedly been turned down.
Another rumoured target, Wolves winger Ivan Cavaleiro, has stated his desire to stay at Molineux, posting a picture of himself in action for Wolves and saying: “Looking forward to start the season with my club.”
It is understood that Town made a tentative inquiry about Cavaleiro’s availability, but were given no encouragement.