It was announced on Tuesday that Valverde had stepped down as manager of Bilbao after four years with the Basque outfit.
The 53-year-old is currently the favourite to succeed Luis Enrique as head coach of Barcelona, but the Spaniard has hinted that he could yet decide to take a year out of club management.
"Why not [take a sabbatical]? It depends. Would I like to coach Barca? When I have an offer from a club, you will all know the answer," Valverde told reporters.
"I see that it has been published that I have signed for another team but this is because a number of things are published every day, and I have already told you all this is not the case."
Barcelona recently announced that they will name their new manager on May 29.