West Ham were denied a stoppage-time equaliser by VAR as Sheffield United held firm to seal a 1-0 win and move up to fifth place.
Aaron Cresswell scored his third league goal of the season as Chelsea suffered a 1-0 loss to West Ham.
West Ham have tied down winger Robert Snodgrass for at least the next two seasons after he agreed a new deal.
West Ham midfielder Robert Snodgrass has received a suspension after he allegedly abused anti-doping personnel in February.
Fulham are bottom of the Premier League table after 17 matches, but Claudio Ranieri is keen to maintain his squad's togetherness.