Manchester United climbed to third place after winning 2-0 at second-bottom Queens Park Rangers.
London: Oscar and Diego Costa each scored twice as Chelsea established a provisional five-point lead at the Premier League summit with a crushing 5-0 success at Swansea City on Saturday.
The one-sided victory, which saw Chelsea go 4-0 up inside the first 36 minutes, enabled Jose Mourinho’s side to pull clear of second-place Manchester City, who host Arsenal on Sunday.
Manchester United climbed to third place after winning 2-0 at second-bottom Queens Park Rangers, with substitutes Marouane Fellaini and James Wilson finding the target after a lacklustre first-half display.
Southampton, who won 1-0 at United last weekend, will attempt to reclaim third place later on Saturday when they visit Newcastle United.
Chelsea had lost two and won only one of their previous four away games, but they went ahead inside a minute at Swansea when Oscar drilled a shot into the bottom-left corner after Gylfi Sigurdsson conceded possession.
Eager to atone, Sigurdsson hit the crossbar within seconds of the restart, but Chelsea doubled their lead in the 20th minute when Cesc Fabregas teed up Costa to slot home.
Costa punished a mistake from Federico Fernandez to claim his 17th goal of the campaign in the 34th minute and two minutes later he teed up Oscar to finish with the inside of his right foot.
A dominant first-half showing also saw Willian hit the woodwork twice, and although Chelsea took their foot off the pedal after the change of ends, Andre Schuerrle added a late fifth from Branislav Ivanovic’s cross.
On-loan striker Radamel Falcao returned to the Manchester United starting XI at QPR after being dropped against Southampton, but spurned a good early chance to score when he was denied by a Rob Green double-save.
United manager Louis van Gaal persisted with a three-man defence and with the visitors toiling, their fans made their dissent plain at half-time by chanting: “4-4-2!”
Fellaini replaced Juan Mata at the interval before Van Gaal introduced 19-year-old striker Wilson for centre-back Jonny Evans, and within seconds United were in front.
Antonio Valencia motored to the byline on the right and cut the ball back for Fellaini, who took a touch before lashing a languid shot past Green from 12 yards.
Wilson sealed victory in injury time, finishing at the second attempt after his initial shot was repelled by Green.
Christian Eriksen claimed an 88th-minute winner as Tottenham Hotspur closed to within two points of the top four by winning 2-1 at home to Sunderland, who gave striker Jermain Defoe a debut against his former club.
Sebastian Larsson appeared to have earned Sunderland a point with a curling free-kick after Jan Vertonghen’s deflected shot had put Spurs ahead, only for Eriksen to poach a winner from Andros Townsend’s cross.
Improving Liverpool climbed to seventh place, four points below the Champions League places, after winning 2-0 at Aston Villa.
With Steven Gerrard rested, Liverpool took a 24th-minute lead when Fabio Borini slid in to convert Jordan Henderson’s delicate cross before Rickie Lambert added a second with 11 minutes to play.
Crystal Palace came from two goals down to claim a 3-2 win over Burnley.