The former Real Madrid and Spain coach has lost his father Jose Lopetegui, who was 94.
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Jose was a famous athlete in his own right, as he played in the Basque sport of stone-lifting.
The Hammers are still contemplating whether to retain Lopetegui in the long-term.
The Spaniard has battled to develop a winning consistency since joining the club in the summer from David Moyes.