Swansea are progressing with talks for Michael Duff to become their new manager.
Discussions are on-going for the Barnsley boss to succeed Russell Martin in Wales.
Swansea have made an approach to the Tykes but no deal has been struck between the clubs yet, the PA news agency understands.
The Swans, who finished 10th in the Championship last season, want the ex-Cheltenham boss with Martin poised to move to Southampton.
Saints are close to officially announcing Martin as their new manager after the 37-year-old agreed to move to St Mary’s last month.
Southampton and Swansea have disagreed over the amount of compensation which should be paid.
They have been haggling over £700,000 with Martin’s release clause for Championship clubs and Premier League sides different.
The Saints felt they should pay the smaller amount, around £1.25million, after their relegation from the top flight while the Swans have been holding out for £2million.
Former Swansea assistant Chris Davies, who is expected to join Ange Postecoglou’s coaching staff at Tottenham, was linked while the club held an interest in Birmingham boss John Eustace.
But Duff has emerged as the No.1 candidate after just a year at Oakwell having guided them to the League One play-offs.
The Tykes lost 1-0 in the last minute of extra time to Sheffield Wednesday in the final at Wembley.
Former Burnley midfielder Duff spent four years as Cheltenham manager, winning League Two in 2021 – the club’s first league title in their history – before cementing the Robins’ place in League One and joining Barnsley last summer, finishing fourth last season.