Brendan Rodgers is understood to be considering various options after holding initial talks over a potential return to Celtic.
The 50-year-old has had discussions with the Scottish Premiership champions in recent days, with more negotiations expected to take place this week.
Rushhoursport reported last Monday he would be sounded out over replacing Ange Postecoglou, although Celtic have also been looking at other candidates.
Rodgers - who left Celtic in 2019 - has also been linked to the vacant job at Leeds United despite planning to take an extended break away from the dugout following his departure from Leicester City in April.
While Celtic chiefs see Rodgers as a preferred candidate, the club are understood to be considering other targets including Pep Guardiola's Manchester City assistant Enzo Maresca, who has also been linked with Leicester.
