Jamie Carragher says Liverpool's move for Arne Slot demonstrates the lack of "top managers" currently available.
Liverpool are in talks with Feyenoord over appointing Slot as the successor to Jurgen Klopp, who is standing down at the end of the season.
The Dutch champions turned down Liverpool's opening offer of £7.75m, with a fee closer to £9m expected to be enough to secure the 45-year-old.
Liverpool were strongly linked with Xabi Alonso until their former midfielder announced he was staying at Bayer Leverkusen.
Sporting boss Ruben Amorim - who is a candidate for West Ham should David Moyes leave - and Brighton's Roberto De Zerbi were also reportedly under consideration by Liverpool.
Thomas Tuchel and Xavi will also be available in the summer when they depart Bayern Munich and Barcelona, respectively, but Liverpool appear to have focused their intentions on Slot.
Speaking to Sky Sports, former Liverpool defender Carragher said: "From Feyenoord to Liverpool is a huge jump and I think it shows at this moment that there's probably a dearth of real top managers out there, when you look at who Liverpool are going for.
"Initially it was Xabi Alonso - it's only his first full season as a manager - then there was talk of Ruben Amorim from Sporting, who's only 39. Now Arne Slot is the favourite."
Carragher added the scenario potentially facing Slot at Anfield differs from the one Klopp inherited in 2014 after his time in charge of Borussia Dortmund, or the one Rafa Benitez walked into in 2004 after leaving Valencia.
"I don't think it's like Benitez coming in, or Klopp," he said. "Benitez coming in on the back of two LaLiga titles and a UEFA Cup, or Klopp winning a couple of league titles and getting to a Champions League final.
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