Jamie Carragher thinks Carlo Ancelotti would be a "unbelievable coup" for Everton as the Italian coach emerges as the leading managerial candidate.
Duncan Ferguson is currently in temporary charge of the Blues following Marco Silva's sacking earlier this month.
And after Ancelotti parted company with Napoli last week, he has gone on to become favourite for the Goodison Park hotseat.
Everton issued a statement on Monday night to clarify the situation and urge they have not yet formally offered the iconic coach the job.
But the ECHO understands Ancelotti has flown to London for discussions with Everton over becoming the club's new manager.
Face-to-face talks with Farhad Moshiri were expected to be happening today.
In response to the Ancelotti links, Carragher has admitted he thinks fans would be "ecstatic" - though explained his one concern.
Speaking on Sky Sports' Monday Night Football, Carragher said: "I'm surprised that Carlo Ancelotti would take the Everton job [because] of the position they are in, in the league.
"I think for Everton to get a manager of the calibre of Ancelotti would be an unbelievable coup for them.
"I think [Farhad] Moshiri when he came in the first manager he appointed was [Ronald] Koeman and he mentioned that he wanted a Hollywood manager because basically Liverpool have got [Jurgen] Klopp down the road, Pep Guardiola's in Manchester, I think Mourinho was at Manchester United at the time.
"I love the fact that he came into Everton and he was thinking on that level, of getting Everton back up to that level.
"So I have no problem with them trying to go for him.
"From Ancelotti's point of view, I'm not sure he's the man to do the job that I think Everton need if I'm being honest."
Ancelotti is one of three manager's in history to win a treble of Champions League titles. The 60-year-old has also won league titles with AC Milan, Chelsea, Paris Saint-Germain and Bayern Munich.
Carragher added: "What he does Ancelotti he takes really good teams and he just adds a little touch to it which maybe takes them to that next step, especially [in the] Champions League, but listen the Everton fans will be ecstatic."