The Daily Star Sunday says Suarez is worried about his manager’s increasingly precarious position in the Merseyside hotseat.
If Dalglish, 61, is still at the helm next season, Suarez stays. He is a massive fan of the Liverpool boss, who loyally backed him throughout his racism row with Patrice Evra.
But if King Kenny is axed – as seems a real possibility – the Uruguayan hot-head may well demand a move back to Europe, where several top clubs are ready to offer him refuge.
A Kop insider confirmed: “Without Kenny as manager, there has to be a major question mark about Luis.”