Despite falling to two successive defeats at the start of the new Premier League season, we will be looking to get back on track by booking their spot in the fourth round.
Hull will be in confident form having won both of their league matches so far while reaching the third round with wins over Sunderland and Leeds – both via penalties.
The winners will face a trip to either Fleetwood Town or Everton for a place in the fifth round.
The match is scheduled for a 7.30 pm BST kick-off on Tuesday and will, of course, be played behind closed doors.
How to watch
Live stream: The match will not be televised live in the UK, but fans will still be able to watch via the carabaocup.live website.
Tickets will cost £10, with the Carabao Cup broadcasting all ties through to the fourth round involving Premier League clubs which have not been selected to be shown on Sky Sports.
Moyes opted for a significantly changed side in West Ham’s third-round win over Charlton and will most likely do the same here.
It’s Michail Antonio who has emerged as the Hammers’ star striker, but back-up Sebastien Haller will likely lead the line, as he did against Charlton.
Elsewhere, the likes of Robert Snodgrass and Josh Cullen are also expected to be drafted back into the team.
Prediction: West Ham 2-1 Hull