Claims that Neil Lennon has turned down the chance to manage Huddersfield Town appear wide of the mark.
But sources within Town suggest the 43-year-old pulled out of the running in the hope of landing a job at a Premier League or top Championship club.
No offer has been made to any of the candidates, with a second round of interviews due to take place next week.
Former Northern Ireland star Lennon left Celtic voluntarily in May but has said he is now ready to return to football.
He led the Glasgow giants to three Scottish titles and two Scottish Cup wins in his four years at the helm.
Celtic also made the knockout stages of the Champions League in 2012-13.
Lennon recently told Sky Sports: “I’ve had a nice break and I feel I have a lot to offer.
“I’ve been pretty successful at Celtic so I’m looking for a new challenge.
“Where that takes me I don’t know.”
Lennon, who also played for Manchester City, Crewe Alexandra, Leicester City, Celtic and Wycombe Wanderers, claimed the intensity of the Celtic job had made him feel claustrophobic.