Alaves are still searching for their first point and win of the campaign after crashing to a 1-0 defeat at Deportivo La Coruna.
Luisinho’s goal on the stroke of half-time was enough for Pepe Mel’s side, who picked up their first three points of the season.
The defender’s effort flew under visiting goalkeeper Fernando Pacheco in added time at the end of the first period, in what was to prove the only goal of the game.
The Galicians had started the match in the relegation zone, with a 2-2 draw at Leganes in Week 2 their only previous point of the campaign.
Javier Cabello was in the dugout for Alaves following Luis Zubeldia’s dismissal on Sunday, and next up for the Basque club is the visit of Real Madrid at the weekend.
For Depor, meanwhile, some of the pressure on Mel has been lifted and they travel to Espanyol in Sunday’s early kick-off.