Manager Ruben Amorim chose a strong lineup five days before the UEFA Europa League final, challenging his players to prove their readiness for the crucial match against Bilbao. Chelsea's players responded well, despite a shaky start, where Noni Madueke missed a close-range chance after being set up by Cole Palmer.
The Red Devils thought they had taken the lead when Harry Maguire scored a clinical finish from a well-delivered Bruno Fernandes cross. However, a marginal VAR review ruled out the goal, citing an offside infringement.
Reece James' long-range effort struck the post, and Cole Palmer was denied by André Onana as Chelsea fought hard for the win. The pressure on Chelsea increased after Aston Villa's 2-0 win over Tottenham, which left Chelsea needing all three points to stay in the top five.
Mason Mount tried to create a chance for United, but his shot went wide after a promising run and cross by Amad Diallo. United's counterattacks were a threat, and Fernandes was frustrated after shooting over the bar following a good link-up between Mount and Amad.
Chelsea thought they were awarded a penalty after a collision between Onana and Tyrique George, but the decision was overturned by VAR. The home team finally scored when Cucurella powered a header past Onana after a good turn and cross by James, bringing relief to the Stamford Bridge crowd.
The score should have been 2-0 just moments later, but Madueke sliced his shot wide of the target after Palmer's pass found him. Amad was a key player for Chelsea, and his attempt was well saved by Robert Sánchez at the near post as United searched for an equalizer.
Chelsea held on for the win, moving up to fourth place, while Manchester United are now on their longest winless run in Premier League history, having gone eight games without a win.
The pressure is now on Manchester United to win against Bilbao on Wednesday, or else it could be a disappointing season for Amorim's team.
Flashscore Man of the Match: Reece James (Chelsea)