The Hammers want to go into next season with a top class replacement for David Moyes.
Per The Sun, the club have not given up on persuading Julen Lopetegui to take over.
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The ex-Wolves manager is highly rated in the game and has not worked all season.
There is also the possibility that he may move to Milan, while West Ham also have other targets.
Paulo Fonseca, who is in charge at Lille, is another option for the London club.