Despite leading Barca to the Copa del Rey and almost certainly the La Liga title, Valverde has reportedly been considering his future.
"It's false. We're very happy with him," he told El Larguero.
"It's his project, we're not talking about it. Someone will have said it, but not the board or the club.
"Nobody doubts Valverde, not after Rome. To recover from defeats, success is assured. A double closes an excellent season."
Barca are 11 points clear atop La Liga ahead of a trip to Deportivo La Coruna on Sunday, with a draw enough to clinch the title.