Kjaer, 25, has established himself as one of the top centre-backs in Ligue 1 since a €2 million move from Wolfsburg in 2013, helping Lille record an outstanding 21 clean sheets in his debut season, and a host of major European sides are now said to be courting his signature.
Both Liverpool and Manchester United were understood to be preparing bids earlier this winter, per the likes of the Daily Star, and, while a transfer in the winter window failed to materialise, a summer exit looks like it could well be on the cards.
Representatives from the Anfield outfit were claimed to be in attendance for Lille’s 1-0 win at Guingamp, along with those from AC Milan and Juventus, although their scouting mission was almost cut short within the opening 15 minutes of the match when the Denmark international required several minutes of treatment following a collision with goalkeeper Victor Enyeama.
While sustaining a set of bruised ribs, he managed to complete the full 90 minutes, much to the plaudits of the French press, and told BT afterwards: "It's always nice to hear that others appreciate my performance so it was indeed good I was on the field.
“But I think that I have also personally hit a high and stable level again this season, so I am very happy in Lille.”
When pressed on his future, the former Palermo defender added: "This summer I have two years left on the contract with Lille, and then we will see what happens. But right now I think all of nothing else but to play well and help to win games for Lille.”
Despite remaining coy on his future, one fact which could work in Liverpool’s advantage during a potential pursuit of Kjaer’s is his family’s widespread support of the club, having told Goal.com in November: “It’s not a secret that my family are Liverpool fans, and a move to Liverpool would make my family happy.
“But they support me more than they support anything else, so they are happy where ever I go - as long as I am happy.”
Regardless of such ties, though, a summer move to the Reds would make clear sense given the club’s need for another centre-back, while the comparisons to international teammate and idol Daniel Agger would be all too obvious.