Just like he did at Hull - and Harry Kane did at Villa - the Danish playmaker rifled home from the edge of the box in the 89th minute to secure maximum points.
This victory was build on a dogged defensive display after Kane's early goal as the home team put us under all sorts of pressure, especially in the second half.
But we held on and the tide was starting to turn when Ben Davies - back at his former club - drilled in the perfect pass to Eriksen, who did the rest.
It was Eriksen's sixth Premier League goal and made it four away wins as we climbed back up to seventh place.
Mauricio Pochettino made just one change from last weekend's draw against Crystal Palace, with Kyle Walker continuing at right-back after making his return from injury in Istanbul on Thursday night. It was his first start in the Premier League since March.
Just three minutes were showing on the clock when Eriksen dispatched a corner to the far post that Kane rose and planted his head on, defeating Gerhard Tremmel in the Swansea goal for his 12th goal of the campaign.
It was a welcome lift after no goals in three outings and it provided a spring in the step of the team that had perhaps been tentative in recent games.
Wilfried Bony was certainly quick in his step when he took the ball on the edge of the area and provided Hugo Lloris with his first work of the afternoon - saving low to his right from the striker's fierce drive. It was the goalkeeper's 100th Spurs appearance.
Davies tested Tremmel with a fizzed in low cross 17 minutes in, before Kane shot narrowly wide moments later.
Jefferson Montero then brilliantly played in Bony and it took a superb last-ditch challenge from Davies to deny his former team-mate. Bony then just failed to make a connection with a Wayne Routledge cross.
Lloris made an excellent double save to again deny Bony, not knowing that the flag was up for a debatable offside. The ease with which Bony was getting into threatening positions must have been a growing concern for Mauricio Pochettino.
The game was getting a little sparky in the swirling wind and rain at the Liberty Stadium, with Jan Vertonghen booked for a challenge on Routledge and Montero suggesting Erik Lamela's arm made contact with his jaw.
What was clear was that Swansea were on the front foot and looking to exploit the threat of the bull-like Bony. The team needed urgently to recompose, string telling passes together and regain the momentum seized by City.
Two minutes into the second half and Swansea were level. Bony connected with a Routledge cross and was blocked in front of goal by Federico Fazio, but the ball fell kindly and the striker was able to apply a sidefooted finish past the unsighted Lloris.
There were nearly further problems when Gylfi Sigurdsson dispossessed Fazio, but fortunately stumbled and slipped when about to apply further punishment.
The tide was in all while and Mauricio responded by replacing Roberto Soldado with Mousa Dembele. Ki Sung-Yeung headed over as Swansea continued to dictate and dominate, boosted by the early response.
A deflected shot from Ryan Mason did leave Tremmel stranded but not beaten, while Kane tried to muster a response with a long-range curling effort that was just too high.
A Bony flick inside the area came so close to landing in the path of Sigurdsson. Fazio then blocked off Bony's route to goal after his run was picked out by Routledge, before Sigurdsson shot wide from a good position.
Benji Stambouli was introduced on 69 minutes for Mason in order to stem the tide of pressure, but it was Swansea sub Jonjo Shelvey and then Montero who came close to snatching the lead.
It was Kane who next came close to altering the scoreline with a header that flashed inches wide as you sensed we might just snatch another late victory.
And once again, the winner arrived in the nick of time.
Eriksen's initial shot was parried away by Tremmel, Richards had the chance to clear but could only find Davies, he fizzed a pass in to Eriksen and the Dane fired into the corner to spark more celebrations from the travelling thousands.
Spurs: Lloris (C); Walker, Fazio, Vertonghen, Davies; Bentaleb, Mason (Stambouli, 69); Lamela (Chadli, 83), Kane, Eriksen; Soldado (Dembele, 56). Substitutes (not used): Vorm, Chiriches, Rose, Townsend.
Swansea: Tremmel; Rangel (Richards, 70), Bartley, Williams (C), Taylor; Britton (Shelvey, 55), Ki; Sigurdsson; Montero, Bony (Gomis, 85), Routledge. Substitutes (not used): Cornell, Amat, Emnes, Dyer.
Goals: Swansea - Bony (48). Spurs - Kane (3), Eriksen (89).
Yellow cards: Swansea - Ki, Taylor, Bartley. Spurs - Walker, Vertonghen, Mason, Stambouli.
Referee: Robert Madley.