Robert Snodgrass will meet West Ham tomorrow to discuss personal terms and have a medical.
Snodgrass has chosen West Ham over Burnley after both clubs had £10m bids accepted by Hull.
Snodgrass missed Hull’s EFL Cup semi-final second leg against Manchester United on Thursday due to injury, although that is not expected to stand in the way of him passing the medical.
Hull City Manager Marco Silva added: ‘I know the (West Ham) deal is close. It’s possible in the next few hours.
‘The player hasn’t trained with the team and is not available after the club did this deal with West Ham, and we need to find solutions to strengthen our team.’
The Scottish international is Hull’s top goalscorer this season with nine goals, including seven in the Premier League. He has also offered up three assists in the league.
The arrival of Snodgrass could finally signify the departure of Dimitri Payet, with Marseille’s latest bid of £25m plus £3m in bonuses having been rejected by West Ham. Reports in France on Thursday suggested the France international has already agreed personal terms on a contract worth £100,000 a week – a £25,000 reduction from his current salary.