The Hammers are currently six points clear of the relegation zone with eight games left to play this season.
Despite a modest gap between themselves and the bottom three, Demel believes that West Ham have to secure the points against the Tigers to increase their hopes of staying in the top flight.
"It is a very important game for us. After the last game and the few results before we need the three points," he told the club's official website.
"We need to get back winning and this is a good opportunity to play at home against Hull. We have to make sure we get points on the board from our games against Hull and Sunderland because that would make things easier for us."
West Ham have lost their last three matches in the Premier League.