Cesc Fabregas’ early goal was enough to give Chelsea victory at the Liberty Stadium.
Fabregas struck after just four minutes, curling his shot into the top corner after being set up by Eden Hazard – the Spaniard’s 50th Premier League goal.
The victory kept alive Chelsea’s hopes of pipping rivals Tottenham to a Champions League place.
It moved them to within two points of fourth-placed Spurs, who are at home to Watford on Monday.
Chelsea were largely comfortable, especially in the first half, when Swansea defender Alfie Mawson almost scored an own goal.
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And Victor Moses should have added a second with 16 minutes remaining but was unable to add the finishing touch at the far post after being teed up by Fabregas.
Chelsea then had to ride their luck in the final stages, with Andre Ayew and Tom Carroll missing great chances to earn a point for the relegation-threatened Swans.
Chelsea: Courtois, Moses, Rudiger, Cahill, Azpilicueta, Emerson, Fabregas (Pedro 80), Kante, Bakayoko, Hazard (Willian 80), Giroud (Giroud 84).
Subs not used: Caballero, Barkley, Zappacosta, Christensen.
This post was last modified on 30/04/2018
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At halfway (19 games) Chelsea were well ahead of Liverpool and Spurs. It's only because of their own shortcomings (Palace 2 Chelsea 1; Chelsea 0 Bournemouth 3; Chelsea 1 Tottenham 3 etc) that, instead of being comfortably in the top three, they are desperately scrambling in fifth place.
Come on , be realistic, Spurs only need 7 Pts from playing Watford, wba, Newcastle and Leicester. Not a problem, Chelsea are chasing Liverpool , not Spurs!!!!!! Why’s everyone so stupid!,,