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| Gylfi Sigurosson celebrates scoring Swansea's winner against Chelsea |
Hiddink replaced Jose Mourinho on an interim basis in December and has successfully guided Chelsea into the top half after a disastrous start to their title defence.
However, in the first match since Antonio Conte was confirmed as Mourinho's permanent successor, it was the Welsh club who celebrated reaching the fabled 40-point mark at the Liberty Stadium.
Gylfi Sigurdsson's fourth goal in five league matches gave Swansea a deserved lead midway through the first half, while Alexandre Pato wasted two golden opportunities to restore parity.
Having teed up the opener, Jefferson Montero headed narrowly over from a Sigurdsson cross late on, but Swansea held on to end Hiddink's 15-match unbeaten run and record their first Premier League win over Chelsea.
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Chelsea coach Hiddink insists the players should find enough motivation to put in a good performance without focusing on Conte's looming arrival.
"It's not just for the new manager," he said. "I think when you play for a club like Chelsea - for any club - you have to show every week what you are capable of.
"It's not just because of external motivation, I think the players have to be internally motivated.
"That's a key condition to play in a big club
