De Jong punished Barcelona for failing to deal with a corner as he fired into the roof of the net to put the visitor’s ahead after eight minutes.
Both sit three points off leaders Real Madrid, who beat Levante 2-0 earlier.
Antoine Griezmann should have done better for Ronald Koeman’s side when he struck the side-netting midway through the first half, while Barcelona captain Lionel Messi curled a shot narrowly wide after cutting in from the right.
In an even second period, home defender Ronald Araujo almost scored an unfortunate own-goal as a low cross bounced off his leg and struck the crossbar.
Defender Jules Kounde twice headed wide from corners as Europa League champions Sevilla produced an impressive performance, remaining organised until the final whistle to withstand a late barrage of Barcelona pressure.