Athletic moved to within a point of fourth-placed Villarreal after beating Getafe 1-0 on Monday night and after last season's disappointment, when they ended the campaign in the bottom half, talk of possible Champions League football next term is already surfacing.
The Basque club have not finished in the top four since 1998 but Valverde, who replaced Marcelo Bielsa in the summer, insists speculation about ending that run this season is premature.
"We've played 10 games and the aim right now is to get points, and then define the objective later. Elche on Thursday will also be difficult," he said following the win at Getafe.
Aymeric Laporte's ninth-minute goal decided Monday's game and helped Athletic claim their first-ever win at the Coliseum Alfonso Perez.
It was not easy for the visitors though, and they were indebted to goalkeeper Gorka Iraizoz for preserving their lead when he saved Diego Castro's penalty just before the break.
Valverde said: "Getafe generally always have a good team and put you under a lot of pressure. It's a difficult ground where visiting teams have a tough time and really suffer.
"In the Coliseum you can only win through suffering. Even the great teams have a bad time here."