Ange Postecoglou is expected to shun Leicester's attention with the Australian fully focused on his Celtic job and the chance to complete a domestic treble.
The Foxes sacked Brendan Rodgers on Sunday after a last-minute defeat to Crystal Palace the previous day left them in 19th place in the Premier League and in genuine danger of being relegated.
Along with former Chelsea boss Graham Potter, who was sacked a few hours after Rodgers, Postecoglou has emerged as one of the candidates to take over at the King Power Stadium.
But according to the Daily Record, the former Socceroos boss has no interest in moving south of the border for the time being and remains fully focussed on leading Celtic to their first domestic treble in three years.