HITC Sport understands former Birmingham and Blackpool boss set for managerial return in Scotland.
Kilmarnock are searching for a new manager following the departure of Gary Locke from Rugby Park at the end of January.
Kilmarnock have endured a difficult season to date and currently occupy the relegation play-off place,two points behind Motherwell having played a game more.
Player-coach Lee McCulloch is in current caretaker charge of Kilmarnock and he guided the side to an impressive draw with Rangers in the Scottish Cup on Saturday.
A number of names have been linked with the vacancy, including former Nottingham Forest chief Billy Davies but Clark is thought to be at the top of the club's wanted list.
The 42-year-old has been out of work since leaving Blackpool at the end of last season and he is keen to get back into management.
Clark took his first steps into management at Huddersfield in 2008, guiding them to the League One play-off final and helping them go on a record 43-game unbeaten run.
After leaving Huddersfield in 2012 Clark took over at Birmingham City and working under tight constraints he managed to lead them to safety in the Championship on the final day of the 2013/14 season.
The former Newcastle midfielder took charge of Blackpool last October, but was unable to keep them in the Championship in a difficult campaign on and off the field for the club.
Clark has travelled to Scotland for further talks and Kilmarnock hope to announce his appointment in the next 24 hours.