Chelsea will not be able to finish in the top five places in the Premier League, following their 3-1 defeat to Nottingham Forest on Monday afternoon.
The Blues were looking to end a five-game losing run against the relegation strugglers.
But it was the visitors who took a two-goal lead in the first half.
Taiwo Awoniyi opened the scoring with a towering header within two minutes, before he was fouled in the area.
Igor Jesus stepped up and fired the penalty past Robert Sanchez.
Chelsea missed the chance to pull one back from the spot too, after Cole Palmer’s effort was palmed away by Matt Sels.
Awoniyi added a third from Morgan Gibbs-White’s cutback, before Joao Pedro pulled one back.
Chelsea remain on 48 points, 20 off Aston Villa in fifth spot with three fixtures left.