Everton are interested in Sean Dyche becoming their new manager, according to Sky sources.
However, another source has told Sky Sports News that any approach for Dyche is not imminent, with caretaker boss David Unsworth expected to be in charge for the upcoming matches against Lyon and Watford.
Ronald Koeman was dismissed from his post last Monday after Everton's 5-2 defeat by Arsenal left them in the Premier League relegation zone.
Following last week's sacking, Everton U23 manager Unsworth has taken the reins at Goodison Park on an interim basis and has expressed his interest in taking over from Koeman.
Other managers including former England manager Sam Allardyce have also shown interest in the Everton job.
When asked about the vacant managerial role at Goodison Park after his side's 1-0 victory over Newcastle on Monday night Dyche remained tight-lipped on his future.
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"I just keep getting on with my job, simple as that," Dyche told Sky Sports, when asked what he would do if a call came in from Everton.
"We just keep getting on with it. That's my focus and my team's focus. We have to do planning of course, but generally we take each game as it comes, we work on that, then we process the information, debrief it and we move forward again and keep that clarity of thought. That's how we keep going."
Since joining Burnley in 2012, Dyche has experienced great success at Turf Moor, helping guide the club to two Premier League promotions - he is currently the third longest serving manager in the division behind Arsene Wenger and Eddie Howe.
He is currently enjoying his best season with the Clarets - after 10 games they have 16 points and sit in seventh in the Premier League after a string of impressive results, including an away win against last year's champions Chelsea on the opening day of the season.