A bizarre own goal saw the Swans reach the 40-point mark in record time following a 1-0 win at Burnley.
After a first league double over Manchester United the previous week, Garry Monk's side did the same over Burnley as they reached the landmark two days quicker than they did in the 2012/13 campaign - and by a game less.
In a tense and tight affair, the difference proved to be an own goal by keeper Tom Heaton, who spilled into his own net following a deflection off Keiran Trippier after denying former Claret Jack Cork's powerful volley from close range.
Victory not only moved the Swans onto 40 points, but it also saw them move up a place into eighth after 27 games.
The Swans made one change to the starting line-up.
With Gylfi Sigurdsson ruled out with a slight hamstring concern, Tom Carroll went into midfield in the only change from the win against Manchester United last time out.
Former Claret loanee Jack Cork, who spent two separate spells at Turf Moor, also started against his former club.
Burnley remain unchanged as Sean Dyche kept faith with the side that drew 1-1 at Chelsea last weekend.
BURNLEY: Tom Heaton, Keiran Trippier, Jason Shackell (capt), Michael Keane, Ben Mee, George Boyd, Scott Arfield, David Jones, Michael Kightly (Sam Vokes, 74), Ashley Barnes (Lukas Jutkiewicz, 90), Danny Ings.
SUBS NOT USED: Matt Gilks, Stephen Reid, Stephen Ward, Michael Duff, Ross Wallace.
SWANS: Lukasz Fabianski, Kyle Naughton, Federico Fernandez, Ashley Williams (capt), Neil Taylor, Jack Cork, Tom Carroll (Jefferson Montero, 60), Ki Sung-Yueng, Jonjo Shelvey, Wayne Routledge (Jordi Amat, 90), Bafe Gomisv (Nelson Oliveira, 90).
SUBS NOT USED: Gerhard Tremmel, Angel Rangel, Leon Britton, Marvin Emnes.
At a cold and blustery Turf Moor, the game failed to spark into life in the first half.
George Boyd fired low at Lukasz Fabianski in the early stages before the hosts probed again as the Polish keeper made a fantastic save from point-blank range to deny Ashley Barnes following Danny Ings' initial run.
The Swans then created their first real effort as Jonjo Shelvey picked out Wayne Routledge with a sublime through ball over the top of the Burnley defence, but the winger poked wide while under pressure from the onrushing keeper Tom Heaton.
At the other end, Kyle Naughton reacted quickest to clear a low drive from Michael Kightly while Bafe Gomis then saw his low shot collected by Heaton.
Gomis was at it again soon after latching onto another superb pass from Shelvey, but the French striker could only fire high and wide as Heaton rushed off his line.
In the final action of the half, Shelvey latched onto a return pass from Routledge some 20 yards out, but the midfielder's curling effort dropped wide of the far post.
HALF-TIME: Burnley 0 Swans 0
The second half didn't come to life until after the hour mark, with Burnley seeing a penalty claim against Federico Fernandez turned down before Barnes volleyed wide.
Then, on 64 minutes, the visitors stunned Turf Moor just a few moments after Garry Monk had introduced Jefferson Montero to restore a more familiar approach with two wingers.
And the visitors were celebrating thanks to a rather fortuitous goal.
Shelvey's corner was flicked on by Gomis to Cork, whose close-range volley was tipped onto the bar by Heaton. Cork then got a weak touch to the rebound, which deflected off Keiran Trippier and onto Heaton, who spilled the ball into his net while on the floor.
The hosts made their first change as Wales international Sam Vokes came on for Kightly as they went in search of an equaliser.
Captain Jason Shackell then failed to make the most of an outswinging free-kick in the box, with the centre-back volleying wide.
Barnes was then denied by Fabianski, before the home crowd were again appealing for a penalty as Neil Taylor challenged Vokes for a cross. Referee Jon Moss, though, remained unconvinced.
Just moments later Vokes probed again, getting onto the end of Boyd's cross but Fabianski dived low across goal to tip it wide for a corner.
From the resulting delivery, Fabianski plucked the cross and launched a counter as Routledge raced on down the right. His crossfield ball found Montero. but the Ecuadorian winger cut inside before blasting wide.
Both sides made changes in the final minute of the 90, but three minutes of added time meant there was a tense finish.
Sub Nelson Oliveira almost made sure of the points in the last seconds as his angled effort bounced along goal and inches from the line.
But the Swans completed the job much to the joy of the 1,200-strong Jack Army.