Chelsea ensured that qualification for the Champions League remains in their own hands as Marc Cucurellas winner beat Manchester United 1-0 to climb to fourth in the Premier League.
United are gearing up for next weeks Europa League final against Tottenham but ran the Blues close as Ruben Amorim named a stronger line-up than expected.
However, the Red Devils ultimately slipped to an 18th league defeat of the season and remain 16th in the table.
Chelsea and Aston Villa, who beat Spurs 2-0 in Fridays other Premier League match, both leapfrog Manchester City into the top five.
City have a game in hand at home to Bournemouth on Tuesday as they face Crystal Palace in Saturdays FA Cup final.