More from The Guardian on West Ham/KWP/Downes:
Julen Lopetegui, who is interested in the Southampton full-back Kyle Walker-Peters has made signing a centre-back a priority and Kilman is top of his list.
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Ipswich have agreed a deal to sign Ben Johnson, the versatile full-back, on a free from West Ham. Lopetegui needs cover for Emerson Palmieri and Vladimir Coufal in both full-back positions and is looking at Walker-Peters, who has a year left on his deal, and the Manchester United right-back Aaron Wan-Bissaka. David Moyes, Lopetegui’s predecessor, was not convinced about moving for Walker-Peters, who can play at left-back and right-back.
But West Ham, who are also searching for a striker, remain interested in Walker-Peters and there have been talks with Southampton, who want to sign Flynn Downes on a permanent deal. Downes spent last season on loan at Southampton, playing a key role in their promotion to the Premier League, and West Ham want to sell the midfielder.