He, however, added yesterday that this would depend on whether his side win trophies.
Valverde lifted a Liga and Copa del Rey double last year and his side are currently three points clear at the top of the table after 17 games.
They have also reached the last 16 of the UEFA Champions League, where they will meet Olympique Lyonnais.
In spite of those successes, the coach sparked speculation about his future last week.
He said in an interview with Barca’s official TV channel that he did not know where he would be next season.
Speaking at a news conference ahead of FC Barcelona’s trip to Getafe on Sunday, Valverde sought to clarify his future.
He stated that while his contract with the club expires in June, his deal contains the option for a third season.
“I have a contract with the club which was two years plus an optional and at the end of the season we have to decide whether I continue or not,” he said.
“We will postpone that decision for further down the line, depending on how the season goes.”
Even, given his highly impressive domestic record since taking charge of the club in June 2017, Valverde does not enjoy the resounding backing of Barca supporters.
But predecessors such as Pep Guardiola and Luis Enrique were able to count on this.
He also came in for fierce criticism for the team’s shock elimination from the UEFA Champions League to AS Roma in the quarter-finals last season after squandering a 4-1 first-leg lead.
“We are not yet halfway through the season, but if things go well I’d be happy to stay, although it’s not only my decision,” added Valverde.
“We all know how management works. If you don’t win things, as has happened before, people start to call for your head. But I feel good here, as I have since the start.”
