Oliver took charge when the Irons were beaten 4-0 drubbing at Everton in November and was whistle man when we 3-2 at home against Spurs in September.
Stoke, meanwhile, have won eight of their 23 league games with Oliver in charge.
The Northumberland official will arrive at the London Stadium following the row which saw him award a dodgy penalty for Real Madrid in the 98th minute of their clash against Juventus to ensure their place in the Champions League semi finals.
But it’s his record against the Irons which is of far more concern to the Hammers who have picked up four points from their last two games.
The club though have a dreadful record with Oliver in charge, winning two. drawing three and losing eight of the 13 games when he has been referee.
Oliver took charge when the Irons were beaten 4-0 drubbing at Everton in November and was whistle man when we 3-2 at home against Spurs in September.
Stoke, meanwhile, have won eight of their 23 league games with Oliver in charge.